88264991553025 has 81 divisors (see below), whose sum is σ = 130518732846537. Its totient is φ = 59039337571200.

The previous prime is 88264991553019. The next prime is 88264991553029. The reversal of 88264991553025 is 52035519946288.

The square root of 88264991553025 is 9394945.

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 37152157896049 + 51112833656976 = 6095257^2 + 7149324^2 .

It is not a de Polignac number, because 88264991553025 - 2¹⁷ = 88264991421953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88264991553029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13481742802 + ... + 13481749348.

Almost surely, 2^{88264991553025} is an apocalyptic number.

88264991553025 is the 9394945-th square number.

88264991553025 is the 4697473-rd centered octagonal number.

It is an amenable number.

88264991553025 is a deficient number, since it is larger than the sum of its proper divisors (42253741293512).

88264991553025 is an frugal number, since it uses more digits than its factorization.

88264991553025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 67.

The spelling of 88264991553025 in words is "eighty-eight trillion, two hundred sixty-four billion, nine hundred ninety-one million, five hundred fifty-three thousand, twenty-five".