513350352 has 160 divisors (see below), whose sum is σ = 1516569600. Its totient is φ = 166209408.

The previous prime is 513350351. The next prime is 513350353. The reversal of 513350352 is 253053315.

It is an interprime number because it is at equal distance from previous prime (513350351) and next prime (513350353).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513350351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693099 + ... + 3693237.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^513350352 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 513350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758284800).

513350352 is an abundant number, since it is smaller than the sum of its proper divisors (1003219248).

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

513350352 is a wasteful number, since it uses less digits than its factorization.

513350352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 513350352 is about 22657.2361950879. The cubic root of 513350352 is about 800.7026909344.

The spelling of 513350352 in words is "five hundred thirteen million, three hundred fifty thousand, three hundred fifty-two".