513319040 has 128 divisors (see below), whose sum is σ = 1336608000. Its totient is φ = 187379712.

The previous prime is 513319033. The next prime is 513319069. The reversal of 513319040 is 40913315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 856661 + ... + 857259.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2^513319040 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 513319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

513319040 is an abundant number, since it is smaller than the sum of its proper divisors (823288960).

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

513319040 is a wasteful number, since it uses less digits than its factorization.

513319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 513319040 is about 22656.5451911804. The cubic root of 513319040 is about 800.6864108817.

The spelling of 513319040 in words is "five hundred thirteen million, three hundred nineteen thousand, forty".