513892080 has 160 divisors (see below), whose sum is σ = 1906336320. Its totient is φ = 126489600.

The previous prime is 513892037. The next prime is 513892091. The reversal of 513892080 is 80298315.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18930 + ... + 37230.

It is an arithmetic number, because the mean of its divisors is an integer number (11914602).

Almost surely, 2^513892080 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 513892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953168160).

513892080 is an abundant number, since it is smaller than the sum of its proper divisors (1392444240).

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

513892080 is a wasteful number, since it uses less digits than its factorization.

513892080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 513892080 is about 22669.1878989963. The cubic root of 513892080 is about 800.9842469093.

The spelling of 513892080 in words is "five hundred thirteen million, eight hundred ninety-two thousand, eighty".