213361512 has 128 divisors (see below), whose sum is σ = 661032960. Its totient is φ = 55883520.

The previous prime is 213361493. The next prime is 213361549. The reversal of 213361512 is 215163312.

It is a super-2 number, since 2×213361512² = 91046269605852288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 460593 + ... + 461055.

It is an arithmetic number, because the mean of its divisors is an integer number (5164320).

Almost surely, 2^213361512 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 213361512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330516480).

213361512 is an abundant number, since it is smaller than the sum of its proper divisors (447671448).

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

213361512 is a wasteful number, since it uses less digits than its factorization.

213361512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 213361512 is about 14606.8994656635. The cubic root of 213361512 is about 597.5469400516.

The spelling of 213361512 in words is "two hundred thirteen million, three hundred sixty-one thousand, five hundred twelve".