513231360 has 160 divisors (see below), whose sum is σ = 1737692352. Its totient is φ = 128778240.

The previous prime is 513231353. The next prime is 513231371. The reversal of 513231360 is 63132315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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 513231360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128595 + ... + 132525.

Almost surely, 2^513231360 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 513231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868846176).

513231360 is an abundant number, since it is smaller than the sum of its proper divisors (1224460992).

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

513231360 is a wasteful number, since it uses less digits than its factorization.

513231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 513231360 is about 22654.6101268594. The cubic root of 513231360 is about 800.6408198836.

Adding to 513231360 its reverse (63132315), we get a palindrome (576363675).

It can be divided in two parts, 513231 and 360, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 513231360 in words is "five hundred thirteen million, two hundred thirty-one thousand, three hundred sixty".