513354410401 has 16 divisors (see below), whose sum is σ = 620496117760. Its totient is φ = 414883561680.

The previous prime is 513354410389. The next prime is 513354410447. The reversal of 513354410401 is 104014453315.

It is not a de Polignac number, because 513354410401 - 2¹⁹ = 513353886113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513354410461) 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, 9118401 + ... + 9174526.

It is an arithmetic number, because the mean of its divisors is an integer number (38781007360).

Almost surely, 2^513354410401 is an apocalyptic number.

It is an amenable number.

513354410401 is a deficient number, since it is larger than the sum of its proper divisors (107141707359).

513354410401 is a wasteful number, since it uses less digits than its factorization.

513354410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18293164.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 513354410401 its reverse (104014453315), we get a palindrome (617368863716).

The spelling of 513354410401 in words is "five hundred thirteen billion, three hundred fifty-four million, four hundred ten thousand, four hundred one".