213625512 has 80 divisors (see below), whose sum is σ = 629877600. Its totient is φ = 67456800.

The previous prime is 213625487. The next prime is 213625523. The reversal of 213625512 is 215526312.

It is a happy number.

213625512 is a `hidden beast` number, since 21 + 3 + 625 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3637 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (7873470).

Almost surely, 2^213625512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314938800).

213625512 is an abundant number, since it is smaller than the sum of its proper divisors (416252088).

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

213625512 is a wasteful number, since it uses less digits than its factorization.

213625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17375 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 213625512 is about 14615.9334973857. The cubic root of 213625512 is about 597.7932940310.

The spelling of 213625512 in words is "two hundred thirteen million, six hundred twenty-five thousand, five hundred twelve".