253166125 has 32 divisors (see below), whose sum is σ = 337914720. Its totient is φ = 188697600.

The previous prime is 253166113. The next prime is 253166131. The reversal of 253166125 is 521661352.

It can be written as a sum of positive squares in 16 ways, for example, as 41550916 + 211615209 = 6446^2 + 14547^2 .

It is not a de Polignac number, because 253166125 - 2⁵ = 253166093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231079 + ... + 232171.

It is an arithmetic number, because the mean of its divisors is an integer number (10559835).

Almost surely, 2^253166125 is an apocalyptic number.

253166125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253166125 is a deficient number, since it is larger than the sum of its proper divisors (84748595).

253166125 is a wasteful number, since it uses less digits than its factorization.

253166125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 253166125 is about 15911.1949582676. The cubic root of 253166125 is about 632.6087550653.

The spelling of 253166125 in words is "two hundred fifty-three million, one hundred sixty-six thousand, one hundred twenty-five".