213384512 has 56 divisors (see below), whose sum is σ = 471830400. Its totient is φ = 94914560.

The previous prime is 213384503. The next prime is 213384529. The reversal of 213384512 is 215483312.

It is a happy number.

It is a super-2 number, since 2×213384512² = 91065899922956288, which contains 22 as substring.

It is a congruent number.

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, 29864 + ... + 36312.

Almost surely, 2^213384512 is an apocalyptic number.

213384512 is a gapful number since it is divisible by the number (22) 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 213384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

213384512 is an abundant number, since it is smaller than the sum of its proper divisors (258445888).

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

213384512 is a wasteful number, since it uses less digits than its factorization.

213384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6509 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 213384512 is about 14607.6867436292. The cubic root of 213384512 is about 597.5684107871.

The spelling of 213384512 in words is "two hundred thirteen million, three hundred eighty-four thousand, five hundred twelve".