315434434513 has 72 divisors (see below), whose sum is σ = 375703098624. Its totient is φ = 263973600000.

The previous prime is 315434434487. The next prime is 315434434537.

315434434513 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-315434434513 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315434434573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1163964568 + ... + 1163964838.

It is an arithmetic number, because the mean of its divisors is an integer number (5218098592).

Almost surely, 2^315434434513 is an apocalyptic number.

It is an amenable number.

315434434513 is a deficient number, since it is larger than the sum of its proper divisors (60268664111).

315434434513 is a wasteful number, since it uses less digits than its factorization.

315434434513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 447 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 315434 and 434513, that added together give a palindrome (749947).

The spelling of 315434434513 in words is "three hundred fifteen billion, four hundred thirty-four million, four hundred thirty-four thousand, five hundred thirteen".