152541611063325 has 576 divisors, whose sum is σ = 325675064033280. Its totient is φ = 67481568000000.

The previous prime is 152541611063299. The next prime is 152541611063327. The reversal of 152541611063325 is 523360116145251.

It is a happy number.

152541611063325 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 4 + 1 + 6 + 1 + 1 + 0 + 633 + 2 + 5 = 666.

It is not a de Polignac number, because 152541611063325 - 2²⁵ = 152541577508893 is a prime.

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 (152541611063327) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 42597488035 + ... + 42597491615.

It is an arithmetic number, because the mean of its divisors is an integer number (565408097280).

Almost surely, 2^{152541611063325} is an apocalyptic number.

152541611063325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152541611063325 is an abundant number, since it is smaller than the sum of its proper divisors (173133452969955).

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

152541611063325 is a wasteful number, since it uses less digits than its factorization.

152541611063325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 152541611063325 in words is "one hundred fifty-two trillion, five hundred forty-one billion, six hundred eleven million, sixty-three thousand, three hundred twenty-five".