32148960525 has 288 divisors, whose sum is σ = 69305528448. Its totient is φ = 14067302400.

The previous prime is 32148960517. The next prime is 32148960541. The reversal of 32148960525 is 52506984123.

32148960525 is a `hidden beast` number, since 3 + 2 + 14 + 8 + 9 + 605 + 25 = 666.

It is not a de Polignac number, because 32148960525 - 2³ = 32148960517 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 an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 166574829 + ... + 166575021.

It is an arithmetic number, because the mean of its divisors is an integer number (240644196).

Almost surely, 2^32148960525 is an apocalyptic number.

It is an amenable number.

32148960525 is an abundant number, since it is smaller than the sum of its proper divisors (37156567923).

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

32148960525 is a wasteful number, since it uses less digits than its factorization.

32148960525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 32148960525 in words is "thirty-two billion, one hundred forty-eight million, nine hundred sixty thousand, five hundred twenty-five".