513372160 has 104 divisors (see below), whose sum is σ = 1408327776. Its totient is φ = 175964160.

The previous prime is 513372131. The next prime is 513372163. The reversal of 513372160 is 61273315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513372163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141570 + ... + 145150.

Almost surely, 2^513372160 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 513372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704163888).

513372160 is an abundant number, since it is smaller than the sum of its proper divisors (894955616).

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

513372160 is an equidigital number, since it uses as much as digits as its factorization.

513372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 513372160 is about 22657.7174490283. The cubic root of 513372160 is about 800.7140291800.

The spelling of 513372160 in words is "five hundred thirteen million, three hundred seventy-two thousand, one hundred sixty".