513173880 has 160 divisors (see below), whose sum is σ = 1738044000. Its totient is φ = 135800064.

The previous prime is 513173839. The next prime is 513173887. The reversal of 513173880 is 88371315.

It is a super-2 number, since 2×513173880² = 526694862228508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513173887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482229 + ... + 483291.

It is an arithmetic number, because the mean of its divisors is an integer number (10862775).

Almost surely, 2^513173880 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 513173880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022000).

513173880 is an abundant number, since it is smaller than the sum of its proper divisors (1224870120).

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

513173880 is a wasteful number, since it uses less digits than its factorization.

513173880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 513173880 is about 22653.3414753762. The cubic root of 513173880 is about 800.6109291715.

The spelling of 513173880 in words is "five hundred thirteen million, one hundred seventy-three thousand, eight hundred eighty".