513404315 has 8 divisors (see below), whose sum is σ = 619647408. Its totient is φ = 408348640.

The previous prime is 513404303. The next prime is 513404323.

513404315 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513404315 - 2⁶ = 513404251 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 295901 + ... + 297630.

It is an arithmetic number, because the mean of its divisors is an integer number (77455926).

Almost surely, 2^513404315 is an apocalyptic number.

513404315 is a deficient number, since it is larger than the sum of its proper divisors (106243093).

513404315 is a wasteful number, since it uses less digits than its factorization.

513404315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593709.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 513404315 is about 22658.4270195440. The cubic root of 513404315 is about 800.7307463714.

It can be divided in two parts, 51340 and 4315, that added together give a palindrome (55655).

The spelling of 513404315 in words is "five hundred thirteen million, four hundred four thousand, three hundred fifteen".