88125025 has 24 divisors (see below), whose sum is σ = 116905464. Its totient is φ = 65664000.

The previous prime is 88124969. The next prime is 88125067. The reversal of 88125025 is 52052188.

It can be written as a sum of positive squares in 12 ways, for example, as 646416 + 87478609 = 804^2 + 9353^2 .

It is not a de Polignac number, because 88125025 - 2⁹ = 88124513 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41899 + ... + 43951.

It is an arithmetic number, because the mean of its divisors is an integer number (4871061).

Almost surely, 2^88125025 is an apocalyptic number.

88125025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88125025 is a deficient number, since it is larger than the sum of its proper divisors (28780439).

88125025 is a wasteful number, since it uses less digits than its factorization.

88125025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 88125025 is about 9387.4930093183. The cubic root of 88125025 is about 445.0065647308.

The spelling of 88125025 in words is "eighty-eight million, one hundred twenty-five thousand, twenty-five".