213615752 has 64 divisors (see below), whose sum is σ = 470776320. Its totient is φ = 88973568.

The previous prime is 213615751. The next prime is 213615793. The reversal of 213615752 is 257516312.

Its product of digits (12600) is a multiple of the sum of its prime factors (630).

It is not an unprimeable number, because it can be changed into a prime (213615751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728918 + ... + 729210.

It is an arithmetic number, because the mean of its divisors is an integer number (7355880).

Almost surely, 2^213615752 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 213615752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235388160).

213615752 is an abundant number, since it is smaller than the sum of its proper divisors (257160568).

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

213615752 is a wasteful number, since it uses less digits than its factorization.

213615752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 213615752 is about 14615.5996113741. The cubic root of 213615752 is about 597.7841900131.

The spelling of 213615752 in words is "two hundred thirteen million, six hundred fifteen thousand, seven hundred fifty-two".