88872553225 has 27 divisors (see below), whose sum is σ = 111425971797. Its totient is φ = 70316981280.

The previous prime is 88872553213. The next prime is 88872553241. The reversal of 88872553225 is 52235527888.

The square root of 88872553225 is 298115.

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 325838601 + 88546714624 = 18051^2 + 297568^2 .

It is not a de Polignac number, because 88872553225 - 2²⁵ = 88838998793 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, 162472402 + ... + 162472948.

Almost surely, 2^88872553225 is an apocalyptic number.

88872553225 is the 298115-th square number.

88872553225 is the 149058-th centered octagonal number.

It is an amenable number.

88872553225 is a deficient number, since it is larger than the sum of its proper divisors (22553418572).

88872553225 is an frugal number, since it uses more digits than its factorization.

88872553225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 661 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 55.

The spelling of 88872553225 in words is "eighty-eight billion, eight hundred seventy-two million, five hundred fifty-three thousand, two hundred twenty-five".