87885567025 has 27 divisors (see below), whose sum is σ = 109888090689. Its totient is φ = 69726216000.

The previous prime is 87885567001. The next prime is 87885567031. The reversal of 87885567025 is 52076558878.

The square root of 87885567025 is 296455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 125059489 + 87760507536 = 11183^2 + 296244^2 .

It is not a de Polignac number, because 87885567025 - 2⁹ = 87885566513 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 312759885 + ... + 312760165.

Almost surely, 2^87885567025 is an apocalyptic number.

87885567025 is the 296455-th square number.

87885567025 is the 148228-th centered octagonal number.

It is an amenable number.

87885567025 is a deficient number, since it is larger than the sum of its proper divisors (22002523664).

87885567025 is an frugal number, since it uses more digits than its factorization.

87885567025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 61.

The spelling of 87885567025 in words is "eighty-seven billion, eight hundred eighty-five million, five hundred sixty-seven thousand, twenty-five".