513002880 has 576 divisors, whose sum is σ = 2096565120. Its totient is φ = 115015680.

The previous prime is 513002851. The next prime is 513002881. The reversal of 513002880 is 88200315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513002881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16548465 + ... + 16548495.

It is an arithmetic number, because the mean of its divisors is an integer number (3639870).

Almost surely, 2^513002880 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 513002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048282560).

513002880 is an abundant number, since it is smaller than the sum of its proper divisors (1583562240).

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

513002880 is a wasteful number, since it uses less digits than its factorization.

513002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 513002880 is about 22649.5668832762. The cubic root of 513002880 is about 800.5219926638.

The spelling of 513002880 in words is "five hundred thirteen million, two thousand, eight hundred eighty".