521289776016 has 45 divisors (see below), whose sum is σ = 1458911606971. Its totient is φ = 173760370656.

The previous prime is 521289776009. The next prime is 521289776023. The reversal of 521289776016 is 610677982125.

The square root of 521289776016 is 722004.

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

521289776016 is a `hidden beast` number, since 5 + 2 + 1 + 28 + 9 + 7 + 7 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (521289776009) and next prime (521289776023).

It is a super-2 number, since 2×521289776016² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 8633965 + ... + 8694131.

Almost surely, 2^521289776016 is an apocalyptic number.

521289776016 is the 722004-th square number.

It is an amenable number.

521289776016 is an abundant number, since it is smaller than the sum of its proper divisors (937621830955).

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

521289776016 is an frugal number, since it uses more digits than its factorization.

521289776016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120348 (or 60172 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 521289776016 in words is "five hundred twenty-one billion, two hundred eighty-nine million, seven hundred seventy-six thousand, sixteen".