513676768 has 48 divisors (see below), whose sum is σ = 1141302960. Its totient is φ = 225433600.

The previous prime is 513676763. The next prime is 513676781. The reversal of 513676768 is 867676315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513676763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14953 + ... + 35368.

It is an arithmetic number, because the mean of its divisors is an integer number (23777145).

Almost surely, 2^513676768 is an apocalyptic number.

513676768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

513676768 is an abundant number, since it is smaller than the sum of its proper divisors (627626192).

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

513676768 is a wasteful number, since it uses less digits than its factorization.

513676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50371 (or 50363 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 513676768 is about 22664.4384002781. The cubic root of 513676768 is about 800.8723650449.

The spelling of 513676768 in words is "five hundred thirteen million, six hundred seventy-six thousand, seven hundred sixty-eight".