252442125 has 96 divisors (see below), whose sum is σ = 503219808. Its totient is φ = 120960000.

The previous prime is 252442111. The next prime is 252442159. The reversal of 252442125 is 521244252.

It can be written as a sum of positive squares in 16 ways, for example, as 235376964 + 17065161 = 15342^2 + 4131^2 .

It is not a de Polignac number, because 252442125 - 2¹² = 252438029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599415 + ... + 599835.

It is an arithmetic number, because the mean of its divisors is an integer number (5241873).

Almost surely, 2^252442125 is an apocalyptic number.

252442125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252442125 is a deficient number, since it is larger than the sum of its proper divisors (250777683).

252442125 is a wasteful number, since it uses less digits than its factorization.

252442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 252442125 is about 15888.4273922878. The cubic root of 252442125 is about 632.0051381906.

Adding to 252442125 its reverse (521244252), we get a palindrome (773686377).

The spelling of 252442125 in words is "two hundred fifty-two million, four hundred forty-two thousand, one hundred twenty-five".