513620730 has 128 divisors (see below), whose sum is σ = 1647820800. Its totient is φ = 111212352.

The previous prime is 513620729. The next prime is 513620743. The reversal of 513620730 is 37026315.

It is a happy number.

513620730 is a `hidden beast` number, since 5 + 1 + 3 + 620 + 7 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513620694 and 513620703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28759 + ... + 43061.

It is an arithmetic number, because the mean of its divisors is an integer number (12873600).

Almost surely, 2^513620730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513620730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823910400).

513620730 is an abundant number, since it is smaller than the sum of its proper divisors (1134200070).

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

513620730 is a wasteful number, since it uses less digits than its factorization.

513620730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 513620730 is about 22663.2021126760. The cubic root of 513620730 is about 800.8432410767.

The spelling of 513620730 in words is "five hundred thirteen million, six hundred twenty thousand, seven hundred thirty".