252117125 has 32 divisors (see below), whose sum is σ = 342093024. Its totient is φ = 184396800.

The previous prime is 252117119. The next prime is 252117143. The reversal of 252117125 is 521711252.

It can be written as a sum of positive squares in 16 ways, for example, as 215707969 + 36409156 = 14687^2 + 6034^2 .

It is not a de Polignac number, because 252117125 - 2¹⁶ = 252051589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252117094 and 252117103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182939 + ... + 184311.

It is an arithmetic number, because the mean of its divisors is an integer number (10690407).

Almost surely, 2^252117125 is an apocalyptic number.

252117125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252117125 is a deficient number, since it is larger than the sum of its proper divisors (89975899).

252117125 is a wasteful number, since it uses less digits than its factorization.

252117125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1504 counting only the distinct ones).

The product of its digits is 1400, while the sum is 26.

The square root of 252117125 is about 15878.1965285734. The cubic root of 252117125 is about 631.7338022302.

Adding to 252117125 its reverse (521711252), we get a palindrome (773828377).

The spelling of 252117125 in words is "two hundred fifty-two million, one hundred seventeen thousand, one hundred twenty-five".