513164464 has 20 divisors (see below), whose sum is σ = 1046586040. Its totient is φ = 243077760.

The previous prime is 513164441. The next prime is 513164467. The reversal of 513164464 is 464461315.

It is a super-3 number, since 3×513164464³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (513164467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 843717 + ... + 844324.

It is an arithmetic number, because the mean of its divisors is an integer number (52329302).

Almost surely, 2^513164464 is an apocalyptic number.

It is an amenable number.

513164464 is an abundant number, since it is smaller than the sum of its proper divisors (533421576).

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

513164464 is a wasteful number, since it uses less digits than its factorization.

513164464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688068 (or 1688062 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 513164464 is about 22653.1336463634. The cubic root of 513164464 is about 800.6060324566.

The spelling of 513164464 in words is "five hundred thirteen million, one hundred sixty-four thousand, four hundred sixty-four".