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252300530025 = 33523134073539
BaseRepresentation
bin1110101011111001001…
…0001001000101101001
3220010020020221220001000
43222332102021011221
513113202413430100
6311523311545213
724141146056245
oct3527622110551
9803206856030
10252300530025
1198000087535
1240a92b2b209
131aa3a88b36b
14c2d617b425
156869c92900
hex3abe489169

252300530025 has 96 divisors (see below), whose sum is σ = 478712217600. Its totient is φ = 130144622400.

The previous prime is 252300530021. The next prime is 252300530047. The reversal of 252300530025 is 520035003252.

252300530025 is a `hidden beast` number, since 2 + 52 + 300 + 5 + 300 + 2 + 5 = 666.

252300530025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252300530025 - 22 = 252300530021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252300530021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71289706 + ... + 71293244.

It is an arithmetic number, because the mean of its divisors is an integer number (4986585600).

Almost surely, 2252300530025 is an apocalyptic number.

252300530025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252300530025 is a deficient number, since it is larger than the sum of its proper divisors (226411687575).

252300530025 is a wasteful number, since it uses less digits than its factorization.

252300530025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 252300530025 its reverse (520035003252), we get a palindrome (772335533277).

The spelling of 252300530025 in words is "two hundred fifty-two billion, three hundred million, five hundred thirty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 1395 2325 3407 3539 4185 6975 10221 10617 17035 17695 20925 30663 31851 51105 53085 85175 88475 91989 95553 105617 109709 153315 159255 255525 265425 316851 329127 459945 477765 528085 548545 766575 796275 950553 987381 1584255 1645635 2299725 2388825 2640425 2742725 2851659 2962143 4752765 4936905 7921275 8228175 12057373 14258295 14810715 23763825 24684525 36172119 60286865 71291475 74053575 108516357 180860595 301434325 325549071 373778563 542581785 904302975 1121335689 1627745355 1868892815 2712908925 3364007067 5606678445 8138726775 9344464075 10092021201 16820035335 28033392225 50460106005 84100176675 252300530025