513294336 has 135 divisors (see below), whose sum is σ = 1508363311. Its totient is φ = 168198144.

The previous prime is 513294319. The next prime is 513294337. The reversal of 513294336 is 633492315.

It is a happy number.

The square root of 513294336 is 22656.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513294336.

It is not an unprimeable number, because it can be changed into a prime (513294337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8699875 + ... + 8699933.

Almost surely, 2^513294336 is an apocalyptic number.

513294336 is the 22656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513294336

513294336 is an abundant number, since it is smaller than the sum of its proper divisors (995068975).

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

513294336 is an frugal number, since it uses more digits than its factorization.

513294336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 64 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The cubic root of 513294336 is about 800.6735660601.

Multiplying 513294336 by its sum of digits (36), we get a square (18478596096 = 135936²).

513294336 divided by its sum of digits (36) gives a square (14258176 = 3776²).

It can be divided in two parts, 513 and 294336, that added together give a square (294849 = 543²).

The spelling of 513294336 in words is "five hundred thirteen million, two hundred ninety-four thousand, three hundred thirty-six".