252480525 has 96 divisors (see below), whose sum is σ = 481576320. Its totient is φ = 115584000.

The previous prime is 252480509. The next prime is 252480539. The reversal of 252480525 is 525084252.

It is a happy number.

It is not a de Polignac number, because 252480525 - 2⁴ = 252480509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1459339 + ... + 1459511.

It is an arithmetic number, because the mean of its divisors is an integer number (5016420).

Almost surely, 2^252480525 is an apocalyptic number.

252480525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252480525 is a deficient number, since it is larger than the sum of its proper divisors (229095795).

252480525 is a wasteful number, since it uses less digits than its factorization.

252480525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 252480525 is about 15889.6357730440. The cubic root of 252480525 is about 632.0371821913.

The spelling of 252480525 in words is "two hundred fifty-two million, four hundred eighty thousand, five hundred twenty-five".