513972468 has 18 divisors (see below), whose sum is σ = 1299208274. Its totient is φ = 171324144.

The previous prime is 513972457. The next prime is 513972491. The reversal of 513972468 is 864279315.

513972468 is a `hidden beast` number, since 513 + 9 + 72 + 4 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 508412304 + 5560164 = 22548^2 + 2358^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×513972468² = 528335395724022048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7138471 + ... + 7138542.

Almost surely, 2^513972468 is an apocalyptic number.

It is an amenable number.

513972468 is an abundant number, since it is smaller than the sum of its proper divisors (785235806).

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

513972468 is a wasteful number, since it uses less digits than its factorization.

513972468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277023 (or 14277018 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 513972468 is about 22670.9608971477. The cubic root of 513972468 is about 801.0260106485.

The spelling of 513972468 in words is "five hundred thirteen million, nine hundred seventy-two thousand, four hundred sixty-eight".