213152500 has 120 divisors (see below), whose sum is σ = 532179648. Its totient is φ = 73920000.

The previous prime is 213152479. The next prime is 213152501. The reversal of 213152500 is 5251312.

213152500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

213152500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213152501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 632332 + ... + 632668.

Almost surely, 2^213152500 is an apocalyptic number.

213152500 is a gapful number since it is divisible by the number (20) 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 213152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266089824).

213152500 is an abundant number, since it is smaller than the sum of its proper divisors (319027148).

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

213152500 is a wasteful number, since it uses less digits than its factorization.

213152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 213152500 is about 14599.7431484256. The cubic root of 213152500 is about 597.3517544487.

The spelling of 213152500 in words is "two hundred thirteen million, one hundred fifty-two thousand, five hundred".