213528767424 has 112 divisors (see below), whose sum is σ = 650004288000. Its totient is φ = 60598711296.

The previous prime is 213528767377. The next prime is 213528767447. The reversal of 213528767424 is 424767825312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×213528767424² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332884 + ... + 733395.

Almost surely, 2^213528767424 is an apocalyptic number.

213528767424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213528767424 is an abundant number, since it is smaller than the sum of its proper divisors (436475520576).

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

213528767424 is a wasteful number, since it uses less digits than its factorization.

213528767424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066450 (or 1066440 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 213528767424 in words is "two hundred thirteen billion, five hundred twenty-eight million, seven hundred sixty-seven thousand, four hundred twenty-four".