252632520 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 55800576.

The previous prime is 252632507. The next prime is 252632539. The reversal of 252632520 is 25236252.

252632520 is a `hidden beast` number, since 2 + 5 + 2 + 632 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3197841 + ... + 3197919.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^252632520 is an apocalyptic number.

252632520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

252632520 is an abundant number, since it is smaller than the sum of its proper divisors (753754680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252632520 is a wasteful number, since it uses less digits than its factorization.

252632520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252632520 is about 15894.4178880511. The cubic root of 252632520 is about 632.1639869820.

Adding to 252632520 its reverse (25236252), we get a palindrome (277868772).

The spelling of 252632520 in words is "two hundred fifty-two million, six hundred thirty-two thousand, five hundred twenty".