513602988921 has 189 divisors, whose sum is σ = 900403520373. Its totient is φ = 292569686640.

The previous prime is 513602988911. The next prime is 513602988923. The reversal of 513602988921 is 129889206315.

The square root of 513602988921 is 716661.

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

513602988921 is a `hidden beast` number, since 5 + 1 + 3 + 602 + 9 + 8 + 8 + 9 + 21 = 666.

It is not a de Polignac number, because 513602988921 - 2⁷ = 513602988793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513602988923) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4044117960 + ... + 4044118086.

Almost surely, 2^513602988921 is an apocalyptic number.

513602988921 is the 716661-st square number.

513602988921 is the 358331-st centered octagonal number.

It is an amenable number.

513602988921 is a deficient number, since it is larger than the sum of its proper divisors (386800531452).

513602988921 is an equidigital number, since it uses as much as digits as its factorization.

513602988921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 513602988921 in words is "five hundred thirteen billion, six hundred two million, nine hundred eighty-eight thousand, nine hundred twenty-one".