513673880 has 64 divisors (see below), whose sum is σ = 1189728000. Its totient is φ = 199513600.

The previous prime is 513673877. The next prime is 513673891. The reversal of 513673880 is 88376315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212921 + ... + 215319.

It is an arithmetic number, because the mean of its divisors is an integer number (18589500).

Almost surely, 2^513673880 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 513673880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594864000).

513673880 is an abundant number, since it is smaller than the sum of its proper divisors (676054120).

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

513673880 is a wasteful number, since it uses less digits than its factorization.

513673880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 513673880 is about 22664.3746880429. The cubic root of 513673880 is about 800.8708641505.

The spelling of 513673880 in words is "five hundred thirteen million, six hundred seventy-three thousand, eight hundred eighty".