213533015520 has 192 divisors, whose sum is σ = 734357352960. Its totient is φ = 51724646400.

The previous prime is 213533015471. The next prime is 213533015533. The reversal of 213533015520 is 25510335312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6948990 + ... + 6979650.

It is an arithmetic number, because the mean of its divisors is an integer number (3824777880).

Almost surely, 2^213533015520 is an apocalyptic number.

213533015520 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 213533015520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367178676480).

213533015520 is an abundant number, since it is smaller than the sum of its proper divisors (520824337440).

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

213533015520 is a wasteful number, since it uses less digits than its factorization.

213533015520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32009 (or 32001 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 213533015520 in words is "two hundred thirteen billion, five hundred thirty-three million, fifteen thousand, five hundred twenty".