213648520 has 32 divisors (see below), whose sum is σ = 508987800. Its totient is φ = 80432128.

The previous prime is 213648517. The next prime is 213648551. The reversal of 213648520 is 25846312.

It can be written as a sum of positive squares in 4 ways, for example, as 162868644 + 50779876 = 12762^2 + 7126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156415 + ... + 157774.

Almost surely, 2^213648520 is an apocalyptic number.

213648520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213648520 is an abundant number, since it is smaller than the sum of its proper divisors (295339280).

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

213648520 is a wasteful number, since it uses less digits than its factorization.

213648520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314217 (or 314213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 213648520 is about 14616.7205624244. The cubic root of 213648520 is about 597.8147545364.

The spelling of 213648520 in words is "two hundred thirteen million, six hundred forty-eight thousand, five hundred twenty".