252545520 has 80 divisors (see below), whose sum is σ = 816947712. Its totient is φ = 64416000.

The previous prime is 252545519. The next prime is 252545533. The reversal of 252545520 is 25545252.

252545520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17356 + ... + 28395.

Almost surely, 2^252545520 is an apocalyptic number.

252545520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252545520 is an abundant number, since it is smaller than the sum of its proper divisors (564402192).

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

252545520 is a wasteful number, since it uses less digits than its factorization.

252545520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45790 (or 45784 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 252545520 is about 15891.6808425037. The cubic root of 252545520 is about 632.0914117630.

The spelling of 252545520 in words is "two hundred fifty-two million, five hundred forty-five thousand, five hundred twenty".