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252253068525 = 32523089362941
BaseRepresentation
bin1110101011101101110…
…1000101110011101101
3220010002221122121002200
43222323131011303231
513113103241143100
6311514454412113
724140031463443
oct3527335056355
9803087577080
10252253068525
1197a8630aa57
1240a7b061039
131aa30ab1533
14c2cdb44b93
156865a19e00
hex3abb745ced

252253068525 has 36 divisors (see below), whose sum is σ = 451960784340. Its totient is φ = 134491046400.

The previous prime is 252253068523. The next prime is 252253068539. The reversal of 252253068525 is 525860352252.

252253068525 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 530 + 68 + 52 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14043672036 + 238209396489 = 118506^2 + 488067^2 .

It is not a de Polignac number, because 252253068525 - 21 = 252253068523 is a prime.

It is a super-2 number, since 2×2522530685252 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252253068521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 513555 + ... + 876495.

Almost surely, 2252253068525 is an apocalyptic number.

252253068525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252253068525 is a deficient number, since it is larger than the sum of its proper divisors (199707715815).

252253068525 is a wasteful number, since it uses less digits than its factorization.

252253068525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366046 (or 366038 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 252253068525 in words is "two hundred fifty-two billion, two hundred fifty-three million, sixty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3089 9267 15445 27801 46335 77225 139005 231675 362941 695025 1088823 1814705 3266469 5444115 9073525 16332345 27220575 81661725 1121124749 3363374247 5605623745 10090122741 16816871235 28028118725 50450613705 84084356175 252253068525