513371040 has 576 divisors, whose sum is σ = 2142878976. Its totient is φ = 102187008.

The previous prime is 513371029. The next prime is 513371071. The reversal of 513371040 is 40173315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513371040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7032444 + ... + 7032516.

It is an arithmetic number, because the mean of its divisors is an integer number (3720276).

Almost surely, 2^513371040 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 513371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071439488).

513371040 is an abundant number, since it is smaller than the sum of its proper divisors (1629507936).

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

513371040 is a wasteful number, since it uses less digits than its factorization.

513371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 513371040 is about 22657.6927333742. The cubic root of 513371040 is about 800.7134468861.

The spelling of 513371040 in words is "five hundred thirteen million, three hundred seventy-one thousand, forty".