88365358081225 has 27 divisors (see below), whose sum is σ = 113223545088231. Its totient is φ = 68410762093200.

The previous prime is 88365358081211. The next prime is 88365358081261. The reversal of 88365358081225 is 52218085356388.

The square root of 88365358081225 is 9400285.

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., 31811528909241 + 56553829171984 = 5640171^2 + 7520228^2 .

It is not a de Polignac number, because 88365358081225 - 2³⁷ = 88227919127753 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1457013852 + ... + 1457074498.

Almost surely, 2^{88365358081225} is an apocalyptic number.

88365358081225 is the 9400285-th square number.

88365358081225 is the 4700143-rd centered octagonal number.

It is an amenable number.

88365358081225 is a deficient number, since it is larger than the sum of its proper divisors (24858187007006).

88365358081225 is an frugal number, since it uses more digits than its factorization.

88365358081225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121366 (or 60683 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 64.

The spelling of 88365358081225 in words is "eighty-eight trillion, three hundred sixty-five billion, three hundred fifty-eight million, eighty-one thousand, two hundred twenty-five".