515415316401 has 64 divisors (see below), whose sum is σ = 789416320000. Its totient is φ = 332163659520.

The previous prime is 515415316393. The next prime is 515415316447. The reversal of 515415316401 is 104613514515.

515415316401 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 1 + 5 + 3 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 515415316401 - 2³ = 515415316393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (515415318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53411625 + ... + 53421273.

It is an arithmetic number, because the mean of its divisors is an integer number (12334630000).

Almost surely, 2^515415316401 is an apocalyptic number.

It is an amenable number.

515415316401 is a deficient number, since it is larger than the sum of its proper divisors (274001003599).

515415316401 is a wasteful number, since it uses less digits than its factorization.

515415316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 515415316401 in words is "five hundred fifteen billion, four hundred fifteen million, three hundred sixteen thousand, four hundred one".