252506660 has 48 divisors (see below), whose sum is σ = 607958400. Its totient is φ = 86296320.

The previous prime is 252506651. The next prime is 252506747. The reversal of 252506660 is 66605252.

It is a super-2 number, since 2×252506660² = 127519226688711200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43616 + ... + 49064.

It is an arithmetic number, because the mean of its divisors is an integer number (12665800).

Almost surely, 2^252506660 is an apocalyptic number.

252506660 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 252506660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303979200).

252506660 is an abundant number, since it is smaller than the sum of its proper divisors (355451740).

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

252506660 is a wasteful number, since it uses less digits than its factorization.

252506660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 252506660 is about 15890.4581431751. The cubic root of 252506660 is about 632.0589894466.

Subtracting from 252506660 its sum of digits (32), we obtain a triangular number (252506628 = T₂₂₄₇₂).

The spelling of 252506660 in words is "two hundred fifty-two million, five hundred six thousand, six hundred sixty".