213525504 has 88 divisors (see below), whose sum is σ = 632441120. Its totient is φ = 71165952.

The previous prime is 213525503. The next prime is 213525509. The reversal of 213525504 is 405525312.

It is a happy number.

213525504 is a `hidden beast` number, since 2 + 135 + 25 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213525503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23787 + ... + 31509.

Almost surely, 2^213525504 is an apocalyptic number.

213525504 is a gapful number since it is divisible by the number (24) 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 213525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316220560).

213525504 is an abundant number, since it is smaller than the sum of its proper divisors (418915616).

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

213525504 is an equidigital number, since it uses as much as digits as its factorization.

213525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 213525504 is about 14612.5118990542. The cubic root of 213525504 is about 597.6999945574.

The spelling of 213525504 in words is "two hundred thirteen million, five hundred twenty-five thousand, five hundred four".