10812331580521 has 27 divisors (see below), whose sum is σ = 11056075802949. Its totient is φ = 10573939571232.

The previous prime is 10812331580507. The next prime is 10812331580527. The reversal of 10812331580521 is 12508513321801.

It is a happy number.

The square root of 10812331580521 is 3288211.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7659803493225 + 3152528087296 = 2767635^2 + 1775536^2 .

It is not a de Polignac number, because 10812331580521 - 2³³ = 10803741645929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10812331580527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47215421635 + ... + 47215421863.

Almost surely, 2^{10812331580521} is an apocalyptic number.

10812331580521 is the 3288211-st square number.

10812331580521 is the 1644106-th centered octagonal number.

It is an amenable number.

10812331580521 is a deficient number, since it is larger than the sum of its proper divisors (243744222428).

10812331580521 is an frugal number, since it uses more digits than its factorization.

10812331580521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 10812331580521 in words is "ten trillion, eight hundred twelve billion, three hundred thirty-one million, five hundred eighty thousand, five hundred twenty-one".