213567564 has 24 divisors (see below), whose sum is σ = 569513728. Its totient is φ = 61019280.

The previous prime is 213567553. The next prime is 213567569. The reversal of 213567564 is 465765312.

It is a super-2 number, since 2×213567564² = 91222208785788192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (213567569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1271152 + ... + 1271319.

Almost surely, 2^213567564 is an apocalyptic number.

It is an amenable number.

213567564 is an abundant number, since it is smaller than the sum of its proper divisors (355946164).

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

213567564 is a wasteful number, since it uses less digits than its factorization.

213567564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542485 (or 2542483 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 213567564 is about 14613.9510058026. The cubic root of 213567564 is about 597.7392367258.

It can be divided in two parts, 21356 and 7564, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 213567564 in words is "two hundred thirteen million, five hundred sixty-seven thousand, five hundred sixty-four".