213681504 has 72 divisors (see below), whose sum is σ = 577071432. Its totient is φ = 69191680.

The previous prime is 213681473. The next prime is 213681511. The reversal of 213681504 is 405186312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916972 + ... + 917204.

It is an arithmetic number, because the mean of its divisors is an integer number (8014881).

Almost surely, 2^213681504 is an apocalyptic number.

213681504 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 213681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288535716).

213681504 is an abundant number, since it is smaller than the sum of its proper divisors (363389928).

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

213681504 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (213681503) it forms an eRAP, since the sums of their prime factors are consecutive (519 and 520).

213681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 213681504 is about 14617.8488157458. The cubic root of 213681504 is about 597.8455173787.

It can be divided in two parts, 213681 and 504, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 213681504 in words is "two hundred thirteen million, six hundred eighty-one thousand, five hundred four".