521001014416 has 45 divisors (see below), whose sum is σ = 1043231652729. Its totient is φ = 252053956800.

The previous prime is 521001014363. The next prime is 521001014431. The reversal of 521001014416 is 614410100125.

The square root of 521001014416 is 721804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 453192854416 + 67808160000 = 673196^2 + 260400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89500786 + ... + 89506606.

Almost surely, 2^521001014416 is an apocalyptic number.

521001014416 is the 721804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521001014416

521001014416 is an abundant number, since it is smaller than the sum of its proper divisors (522230638313).

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

521001014416 is an frugal number, since it uses more digits than its factorization.

521001014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11712 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 521001014416 by its sum of digits (25), we get a square (13025025360400 = 3609020²).

The spelling of 521001014416 in words is "five hundred twenty-one billion, one million, fourteen thousand, four hundred sixteen".