213365520 has 120 divisors (see below), whose sum is σ = 727411776. Its totient is φ = 56035584.

The previous prime is 213365519. The next prime is 213365539. The reversal of 213365520 is 25563312.

213365520 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 655 + 2 + 0 = 666.

213365520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46029 + ... + 50451.

Almost surely, 2^213365520 is an apocalyptic number.

213365520 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 213365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363705888).

213365520 is an abundant number, since it is smaller than the sum of its proper divisors (514046256).

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

213365520 is a wasteful number, since it uses less digits than its factorization.

213365520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 213365520 is about 14607.0366604592. The cubic root of 213365520 is about 597.5506816716.

The spelling of 213365520 in words is "two hundred thirteen million, three hundred sixty-five thousand, five hundred twenty".