88182272025 has 45 divisors (see below), whose sum is σ = 163368807151. Its totient is φ = 47023418160.

The previous prime is 88182272023. The next prime is 88182272027. The reversal of 88182272025 is 52027228188.

The square root of 88182272025 is 296955.

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

It is an interprime number because it is at equal distance from previous prime (88182272023) and next prime (88182272027).

It can be written as a sum of positive squares in only one way, i.e., 31745617929 + 56436654096 = 178173^2 + 237564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 88182272025 - 2¹ = 88182272023 is a prime.

It is a super-2 number, since 2×88182272025² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88182272023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13359676 + ... + 13366274.

Almost surely, 2^88182272025 is an apocalyptic number.

88182272025 is the 296955-th square number.

88182272025 is the 148478-th centered octagonal number.

It is an amenable number.

88182272025 is a deficient number, since it is larger than the sum of its proper divisors (75186535126).

88182272025 is an frugal number, since it uses more digits than its factorization.

88182272025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 88182272025 in words is "eighty-eight billion, one hundred eighty-two million, two hundred seventy-two thousand, twenty-five".