513064201 has 32 divisors (see below), whose sum is σ = 616694400. Its totient is φ = 422392320.

The previous prime is 513064187. The next prime is 513064217. The reversal of 513064201 is 102460315.

It is a cyclic number.

It is not a de Polignac number, because 513064201 - 2¹⁵ = 513031433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513064231) 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, 292810 + ... + 294556.

It is an arithmetic number, because the mean of its divisors is an integer number (19271700).

Almost surely, 2^513064201 is an apocalyptic number.

513064201 is the 14326-th heptagonal number.

It is an amenable number.

513064201 is a deficient number, since it is larger than the sum of its proper divisors (103630199).

513064201 is a wasteful number, since it uses less digits than its factorization.

513064201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 513064201 is about 22650.9205331704. The cubic root of 513064201 is about 800.5538877761.

The spelling of 513064201 in words is "five hundred thirteen million, sixty-four thousand, two hundred one".