513822310596 has 135 divisors (see below), whose sum is σ = 1562811072669. Its totient is φ = 146780569152.

The previous prime is 513822310591. The next prime is 513822310643. The reversal of 513822310596 is 695013228315.

The square root of 513822310596 is 716814.

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

513822310596 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 22 + 31 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 490960870596 + 22861440000 = 700686^2 + 151200^2 .

It is not an unprimeable number, because it can be changed into a prime (513822310591) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90315720 + ... + 90321408.

Almost surely, 2^513822310596 is an apocalyptic number.

513822310596 is the 716814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513822310596

513822310596 is an abundant number, since it is smaller than the sum of its proper divisors (1048988762073).

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

513822310596 is an frugal number, since it uses more digits than its factorization.

513822310596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 513822310596 in words is "five hundred thirteen billion, eight hundred twenty-two million, three hundred ten thousand, five hundred ninety-six".