513508801 has 32 divisors (see below), whose sum is σ = 598348800. Its totient is φ = 436726080.

The previous prime is 513508789. The next prime is 513508819. The reversal of 513508801 is 108805315.

It is a cyclic number.

It is not a de Polignac number, because 513508801 - 2¹³ = 513500609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513508861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433586 + ... + 2433796.

It is an arithmetic number, because the mean of its divisors is an integer number (18698400).

Almost surely, 2^513508801 is an apocalyptic number.

It is an amenable number.

513508801 is a deficient number, since it is larger than the sum of its proper divisors (84839999).

513508801 is a wasteful number, since it uses less digits than its factorization.

513508801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 513508801 is about 22660.7325786260. The cubic root of 513508801 is about 800.7850631969.

The spelling of 513508801 in words is "five hundred thirteen million, five hundred eight thousand, eight hundred one".