315044440513 has 16 divisors (see below), whose sum is σ = 355572345600. Its totient is φ = 276499802880.

The previous prime is 315044440507. The next prime is 315044440519.

315044440513 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (315044440507) and next prime (315044440519).

It is a cyclic number.

It is not a de Polignac number, because 315044440513 - 2¹⁷ = 315044309441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315044440519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3461848 + ... + 3551686.

It is an arithmetic number, because the mean of its divisors is an integer number (22223271600).

Almost surely, 2^315044440513 is an apocalyptic number.

It is an amenable number.

315044440513 is a deficient number, since it is larger than the sum of its proper divisors (40527905087).

315044440513 is a wasteful number, since it uses less digits than its factorization.

315044440513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100872.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 315044 and 440513, that added together give a palindrome (755557).

The spelling of 315044440513 in words is "three hundred fifteen billion, forty-four million, four hundred forty thousand, five hundred thirteen".