213152520 has 128 divisors (see below), whose sum is σ = 746496000. Its totient is φ = 47675136.

The previous prime is 213152509. The next prime is 213152531. The reversal of 213152520 is 25251312.

It is an interprime number because it is at equal distance from previous prime (213152509) and next prime (213152531).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36781 + ... + 42179.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^213152520 is an apocalyptic number.

213152520 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 213152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

213152520 is an abundant number, since it is smaller than the sum of its proper divisors (533343480).

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

213152520 is a wasteful number, since it uses less digits than its factorization.

213152520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 213152520 is about 14599.7438333691. The cubic root of 213152520 is about 597.3517731318.

The spelling of 213152520 in words is "two hundred thirteen million, one hundred fifty-two thousand, five hundred twenty".