87613040025 has 81 divisors (see below), whose sum is σ = 182609825151. Its totient is φ = 40037467680.

The previous prime is 87613040003. The next prime is 87613040173. The reversal of 87613040025 is 52004031678.

The square root of 87613040025 is 295995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31540694409 + 56072345616 = 177597^2 + 236796^2 .

It is not a de Polignac number, because 87613040025 - 2⁵ = 87613039993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31078066 + ... + 31080884.

Almost surely, 2^87613040025 is an apocalyptic number.

87613040025 is the 295995-th square number.

87613040025 is the 147998-th centered octagonal number.

It is an amenable number.

87613040025 is an abundant number, since it is smaller than the sum of its proper divisors (94996785126).

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

87613040025 is an equidigital number, since it uses as much as digits as its factorization.

87613040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 87613040025 by its sum of digits (36), we get a square (3154069440900 = 1775970²).

The spelling of 87613040025 in words is "eighty-seven billion, six hundred thirteen million, forty thousand, twenty-five".