513623805 has 48 divisors (see below), whose sum is σ = 881802240. Its totient is φ = 255218688.

The previous prime is 513623801. The next prime is 513623819. The reversal of 513623805 is 508326315.

It is not a de Polignac number, because 513623805 - 2² = 513623801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513623801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471972 + ... + 473058.

It is an arithmetic number, because the mean of its divisors is an integer number (18370880).

Almost surely, 2^513623805 is an apocalyptic number.

It is an amenable number.

513623805 is a deficient number, since it is larger than the sum of its proper divisors (368178435).

513623805 is a wasteful number, since it uses less digits than its factorization.

513623805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 513623805 is about 22663.2699538262. The cubic root of 513623805 is about 800.8448392650.

The spelling of 513623805 in words is "five hundred thirteen million, six hundred twenty-three thousand, eight hundred five".