251064025 has 9 divisors (see below), whose sum is σ = 311417661. Its totient is φ = 200787840.

The previous prime is 251064019. The next prime is 251064029. The reversal of 251064025 is 520460152.

The square root of 251064025 is 15845.

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 11309769 + 239754256 = 3363^2 + 15484^2 .

It is not a de Polignac number, because 251064025 - 2⁵ = 251063993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251064029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77641 + ... + 80809.

Almost surely, 2^251064025 is an apocalyptic number.

251064025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

251064025 is the 15845-th square number.

251064025 is the 7923-rd centered octagonal number.

It is an amenable number.

251064025 is a deficient number, since it is larger than the sum of its proper divisors (60353636).

251064025 is an frugal number, since it uses more digits than its factorization.

251064025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The cubic root of 251064025 is about 630.8529850061.

Multiplying 251064025 by its sum of digits (25), we get a square (6276600625 = 79225²).

251064025 divided by its sum of digits (25) gives a square (10042561 = 3169²).

The spelling of 251064025 in words is "two hundred fifty-one million, sixty-four thousand, twenty-five".