513436641 has 16 divisors (see below), whose sum is σ = 701395200. Its totient is φ = 333905040.

The previous prime is 513436633. The next prime is 513436661. The reversal of 513436641 is 146634315.

It is not a de Polignac number, because 513436641 - 2³ = 513436633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513436621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123210 + ... + 127308.

It is an arithmetic number, because the mean of its divisors is an integer number (43837200).

Almost surely, 2^513436641 is an apocalyptic number.

It is an amenable number.

513436641 is a deficient number, since it is larger than the sum of its proper divisors (187958559).

513436641 is a wasteful number, since it uses less digits than its factorization.

513436641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116.

The product of its digits is 25920, while the sum is 33.

The square root of 513436641 is about 22659.1403411515. The cubic root of 513436641 is about 800.7475517612.

The spelling of 513436641 in words is "five hundred thirteen million, four hundred thirty-six thousand, six hundred forty-one".