252546660 has 60 divisors (see below), whose sum is σ = 792253308. Its totient is φ = 67345344.

The previous prime is 252546641. The next prime is 252546661. The reversal of 252546660 is 66645252.

252546660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 71267364 = 13464^2 + 8442^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252546661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76327 + ... + 79566.

Almost surely, 2^252546660 is an apocalyptic number.

252546660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252546660 is an abundant number, since it is smaller than the sum of its proper divisors (539706648).

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

252546660 is a wasteful number, since it uses less digits than its factorization.

252546660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155914 (or 155903 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 252546660 is about 15891.7167102865. The cubic root of 252546660 is about 632.0923628564.

The spelling of 252546660 in words is "two hundred fifty-two million, five hundred forty-six thousand, six hundred sixty".