252504125 has 16 divisors (see below), whose sum is σ = 318679920. Its totient is φ = 199724800.

The previous prime is 252504121. The next prime is 252504139. The reversal of 252504125 is 521405252.

It can be written as a sum of positive squares in 8 ways, for example, as 208600249 + 43903876 = 14443^2 + 6626^2 .

It is not a de Polignac number, because 252504125 - 2² = 252504121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252504094 and 252504103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252504121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224 + ... + 22473.

It is an arithmetic number, because the mean of its divisors is an integer number (19917495).

Almost surely, 2^252504125 is an apocalyptic number.

252504125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252504125 is a deficient number, since it is larger than the sum of its proper divisors (66175795).

252504125 is an equidigital number, since it uses as much as digits as its factorization.

252504125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22801 (or 22791 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 252504125 is about 15890.3783781256. The cubic root of 252504125 is about 632.0568742880.

Adding to 252504125 its reverse (521405252), we get a palindrome (773909377).

The spelling of 252504125 in words is "two hundred fifty-two million, five hundred four thousand, one hundred twenty-five".