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253545024150225 = 325219581310202783
BaseRepresentation
bin111001101001100100001101…
…000110010101101011010001
31020020201200000200011010100100
4321221210031012111223101
5231213040202140301400
62255124550501243013
7104256011026113453
oct7151441506255321
91206650020133310
10253545024150225
1173872928256015
122452a883703469
13ab62268578112
144687904ca22d3
151e4a44bb85100
hexe6990d195ad1

253545024150225 has 72 divisors (see below), whose sum is σ = 478111028578560. Its totient is φ = 128084909005440.

The previous prime is 253545024150169. The next prime is 253545024150247. The reversal of 253545024150225 is 522051420545352.

253545024150225 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 4 + 5 + 0 + 2 + 415 + 0 + 225 = 666.

It is not a de Polignac number, because 253545024150225 - 210 = 253545024149201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19749184 + ... + 29951966.

It is an arithmetic number, because the mean of its divisors is an integer number (6640430952480).

Almost surely, 2253545024150225 is an apocalyptic number.

253545024150225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253545024150225 is a deficient number, since it is larger than the sum of its proper divisors (224566004428335).

253545024150225 is a wasteful number, since it uses less digits than its factorization.

253545024150225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208631 (or 10208623 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

Adding to 253545024150225 its reverse (522051420545352), we get a palindrome (775596444695577).

The spelling of 253545024150225 in words is "two hundred fifty-three trillion, five hundred forty-five billion, twenty-four million, one hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 5813 17439 29065 52317 87195 110447 145325 261585 331341 435975 552235 994023 1307925 1656705 2761175 4970115 8283525 10202783 24850575 30608349 51013915 91825047 153041745 193852877 255069575 459125235 581558631 765208725 969264385 1744675893 2295626175 2907793155 4846321925 8723379465 14538965775 43616897325 59308777579 177926332737 296543887895 533778998211 889631663685 1126866774001 1482719439475 2668894991055 3380600322003 4448158318425 5634333870005 10141800966009 13344474955275 16903001610015 28171669350025 50709004830045 84515008050075 253545024150225