513419090679 has 32 divisors (see below), whose sum is σ = 849065184000. Its totient is φ = 303926726880.

The previous prime is 513419090671. The next prime is 513419090693. The reversal of 513419090679 is 976090914315.

It is not a de Polignac number, because 513419090679 - 2³ = 513419090671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513419090671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20088204 + ... + 20113745.

It is an arithmetic number, because the mean of its divisors is an integer number (26533287000).

Almost surely, 2^513419090679 is an apocalyptic number.

513419090679 is a deficient number, since it is larger than the sum of its proper divisors (335646093321).

513419090679 is a wasteful number, since it uses less digits than its factorization.

513419090679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40202012 (or 40202006 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 513419090679 in words is "five hundred thirteen billion, four hundred nineteen million, ninety thousand, six hundred seventy-nine".