513040315 has 8 divisors (see below), whose sum is σ = 615817440. Its totient is φ = 410319552.

The previous prime is 513040309. The next prime is 513040349.

It is a happy number.

513040315 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 513040315 - 2¹³ = 513032123 is a prime.

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, 9546 + ... + 33424.

It is an arithmetic number, because the mean of its divisors is an integer number (76977180).

Almost surely, 2^513040315 is an apocalyptic number.

513040315 is a deficient number, since it is larger than the sum of its proper divisors (102777125).

513040315 is a wasteful number, since it uses less digits than its factorization.

513040315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28181.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 513040315 is about 22650.3932636941. The cubic root of 513040315 is about 800.5414641672.

The spelling of 513040315 in words is "five hundred thirteen million, forty thousand, three hundred fifteen".