31540604513 has 32 divisors (see below), whose sum is σ = 36562662144. Its totient is φ = 27155062000.

The previous prime is 31540604461. The next prime is 31540604519.

31540604513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31540604513 - 2²⁴ = 31523827297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31540604513.

It is not an unprimeable number, because it can be changed into a prime (31540604519) 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 31 ways as a sum of consecutive naturals, for example, 312283163 + ... + 312283263.

It is an arithmetic number, because the mean of its divisors is an integer number (1142583192).

Almost surely, 2^31540604513 is an apocalyptic number.

It is an amenable number.

31540604513 is a deficient number, since it is larger than the sum of its proper divisors (5022057631).

31540604513 is an frugal number, since it uses more digits than its factorization.

31540604513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 31540604513 in words is "thirty-one billion, five hundred forty million, six hundred four thousand, five hundred thirteen".