88509993600625 has 45 divisors (see below), whose sum is σ = 111677166319719. Its totient is φ = 70126293012000.

The previous prime is 88509993600601. The next prime is 88509993600647. The reversal of 88509993600625 is 52600639990588.

The square root of 88509993600625 is 9407975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 19346353605601 + 69163639995024 = 4398449^2 + 8316468^2 .

It is not a de Polignac number, because 88509993600625 - 2⁹ = 88509993600113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25166331367 + ... + 25166334883.

Almost surely, 2^{88509993600625} is an apocalyptic number.

88509993600625 is the 9407975-th square number.

88509993600625 is the 4703988-th centered octagonal number.

It is an amenable number.

88509993600625 is a deficient number, since it is larger than the sum of its proper divisors (23167172719094).

88509993600625 is an frugal number, since it uses more digits than its factorization.

88509993600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 70.

The spelling of 88509993600625 in words is "eighty-eight trillion, five hundred nine billion, nine hundred ninety-three million, six hundred thousand, six hundred twenty-five".