513677721601 has 16 divisors (see below), whose sum is σ = 563071864320. Its totient is φ = 464737812480.

The previous prime is 513677721593. The next prime is 513677721611. The reversal of 513677721601 is 106127776315.

It is a cyclic number.

It is not a de Polignac number, because 513677721601 - 2³ = 513677721593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513677721611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995265 + ... + 2237953.

It is an arithmetic number, because the mean of its divisors is an integer number (35191991520).

Almost surely, 2^513677721601 is an apocalyptic number.

It is an amenable number.

513677721601 is a deficient number, since it is larger than the sum of its proper divisors (49394142719).

513677721601 is a wasteful number, since it uses less digits than its factorization.

513677721601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243624.

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 513677721601 in words is "five hundred thirteen billion, six hundred seventy-seven million, seven hundred twenty-one thousand, six hundred one".