31516461513 has 12 divisors (see below), whose sum is σ = 45549419188. Its totient is φ = 20999139840.

The previous prime is 31516461511. The next prime is 31516461533.

31516461513 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 646 + 1 + 5 + 1 + 3 = 666.

31516461513 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 10952041104 + 20564420409 = 104652^2 + 143403^2 .

It is not a de Polignac number, because 31516461513 - 2¹ = 31516461511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31516461511) 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 11 ways as a sum of consecutive naturals, for example, 969328 + ... + 1001313.

Almost surely, 2^31516461513 is an apocalyptic number.

It is an amenable number.

31516461513 is a deficient number, since it is larger than the sum of its proper divisors (14032957675).

31516461513 is a wasteful number, since it uses less digits than its factorization.

31516461513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972424 (or 1972421 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 31516461513 in words is "thirty-one billion, five hundred sixteen million, four hundred sixty-one thousand, five hundred thirteen".