213252660 has 72 divisors (see below), whose sum is σ = 669188520. Its totient is φ = 54905088.

The previous prime is 213252617. The next prime is 213252661. The reversal of 213252660 is 66252312.

213252660 is a `hidden beast` number, since 2 + 132 + 526 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86825124 + 126427536 = 9318^2 + 11244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213252661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15207 + ... + 25646.

It is an arithmetic number, because the mean of its divisors is an integer number (9294285).

Almost surely, 2^213252660 is an apocalyptic number.

213252660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213252660 is an abundant number, since it is smaller than the sum of its proper divisors (455935860).

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

213252660 is a wasteful number, since it uses less digits than its factorization.

213252660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40897 (or 40892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213252660 is about 14603.1729428916. The cubic root of 213252660 is about 597.4453046576.

The spelling of 213252660 in words is "two hundred thirteen million, two hundred fifty-two thousand, six hundred sixty".