517042135406304 has 120 divisors (see below), whose sum is σ = 1528567850291328. Its totient is φ = 171445036008960.

The previous prime is 517042135406299. The next prime is 517042135406311. The reversal of 517042135406304 is 403604531240715.

517042135406304 is a `hidden beast` number, since 5 + 1 + 7 + 0 + 4 + 2 + 1 + 3 + 5 + 4 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 517042135406304.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 521693757 + ... + 522683900.

Almost surely, 2^{517042135406304} is an apocalyptic number.

517042135406304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

517042135406304 is an abundant number, since it is smaller than the sum of its proper divisors (1011525714885024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

517042135406304 is a wasteful number, since it uses less digits than its factorization.

517042135406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044377870 (or 1044377853 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 517042135406304 in words is "five hundred seventeen trillion, forty-two billion, one hundred thirty-five million, four hundred six thousand, three hundred four".