315460343064513 has 16 divisors (see below), whose sum is σ = 422668522917056. Its totient is φ = 209281915745280.

The previous prime is 315460343064499. The next prime is 315460343064527.

It is a happy number.

315460343064513 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (315460343064499) and next prime (315460343064527).

It is a de Polignac number, because none of the positive numbers 2^k-315460343064513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315460343864513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297777208 + ... + 298834713.

It is an arithmetic number, because the mean of its divisors is an integer number (26416782682316).

Almost surely, 2^{315460343064513} is an apocalyptic number.

It is an amenable number.

315460343064513 is a deficient number, since it is larger than the sum of its proper divisors (107208179852543).

315460343064513 is a wasteful number, since it uses less digits than its factorization.

315460343064513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596612784.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 315460343064513 in words is "three hundred fifteen trillion, four hundred sixty billion, three hundred forty-three million, sixty-four thousand, five hundred thirteen".