513431525400415 has 64 divisors (see below), whose sum is σ = 642424217760000. Its totient is φ = 393445016616960.

The previous prime is 513431525400383. The next prime is 513431525400427. The reversal of 513431525400415 is 514004525134315.

It is not a de Polignac number, because 513431525400415 - 2⁵ = 513431525400383 is a prime.

It is a super-2 number, since 2×513431525400415² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29752064467 + ... + 29752081723.

It is an arithmetic number, because the mean of its divisors is an integer number (10037878402500).

Almost surely, 2^{513431525400415} is an apocalyptic number.

513431525400415 is a deficient number, since it is larger than the sum of its proper divisors (128992692359585).

513431525400415 is a wasteful number, since it uses less digits than its factorization.

513431525400415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20420.

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 513431525400415 in words is "five hundred thirteen trillion, four hundred thirty-one billion, five hundred twenty-five million, four hundred thousand, four hundred fifteen".