152527388013 has 240 divisors, whose sum is σ = 321468618240. Its totient is φ = 70772486400.

The previous prime is 152527388009. The next prime is 152527388021. The reversal of 152527388013 is 310883725251.

152527388013 is a `hidden beast` number, since 1 + 5 + 2 + 527 + 38 + 80 + 13 = 666.

It is not a de Polignac number, because 152527388013 - 2² = 152527388009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152527388013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152527388093) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17590243 + ... + 17598911.

It is an arithmetic number, because the mean of its divisors is an integer number (1339452576).

Almost surely, 2^152527388013 is an apocalyptic number.

152527388013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152527388013 is an abundant number, since it is smaller than the sum of its proper divisors (168941230227).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152527388013 is a wasteful number, since it uses less digits than its factorization.

152527388013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 152527388013 in words is "one hundred fifty-two billion, five hundred twenty-seven million, three hundred eighty-eight thousand, thirteen".