253360125 has 48 divisors (see below), whose sum is σ = 460996848. Its totient is φ = 133862400.

The previous prime is 253360103. The next prime is 253360139. The reversal of 253360125 is 521063352.

253360125 is a `hidden beast` number, since 2 + 5 + 33 + 601 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133194681 + 120165444 = 11541^2 + 10962^2 .

It is not a de Polignac number, because 253360125 - 2¹⁰ = 253359101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126129 + ... + 128121.

It is an arithmetic number, because the mean of its divisors is an integer number (9604101).

Almost surely, 2^253360125 is an apocalyptic number.

253360125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253360125 is a deficient number, since it is larger than the sum of its proper divisors (207636723).

253360125 is a wasteful number, since it uses less digits than its factorization.

253360125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253360125 is about 15917.2901274055. The cubic root of 253360125 is about 632.7703021702.

The spelling of 253360125 in words is "two hundred fifty-three million, three hundred sixty thousand, one hundred twenty-five".