513407541601 has 12 divisors (see below), whose sum is σ = 534994973604. Its totient is φ = 492395686400.

The previous prime is 513407541589. The next prime is 513407541701. The reversal of 513407541601 is 106145704315.

It can be written as a sum of positive squares in 2 ways, for example, as 91823544576 + 421583997025 = 303024^2 + 649295^2 .

It is not a de Polignac number, because 513407541601 - 2⁷ = 513407541473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513407541701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655920 + ... + 1941361.

It is an arithmetic number, because the mean of its divisors is an integer number (44582914467).

Almost surely, 2^513407541601 is an apocalyptic number.

It is an amenable number.

513407541601 is a deficient number, since it is larger than the sum of its proper divisors (21587432003).

513407541601 is an equidigital number, since it uses as much as digits as its factorization.

513407541601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597440 (or 3597381 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 513407541601 in words is "five hundred thirteen billion, four hundred seven million, five hundred forty-one thousand, six hundred one".