513682671456 has 120 divisors (see below), whose sum is σ = 1513442977200. Its totient is φ = 170919666432.

The previous prime is 513682671451. The next prime is 513682671503. The reversal of 513682671456 is 654176286315.

It is a happy number.

513682671456 is a `hidden beast` number, since 5 + 1 + 368 + 267 + 14 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513682671451) 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 19 ways as a sum of consecutive naturals, for example, 1265845 + ... + 1621643.

It is an arithmetic number, because the mean of its divisors is an integer number (12612024810).

Almost surely, 2^513682671456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513682671456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756721488600).

513682671456 is an abundant number, since it is smaller than the sum of its proper divisors (999760305744).

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

513682671456 is a wasteful number, since it uses less digits than its factorization.

513682671456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356378 (or 356361 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 513682671456 in words is "five hundred thirteen billion, six hundred eighty-two million, six hundred seventy-one thousand, four hundred fifty-six".