31540804513 has 16 divisors (see below), whose sum is σ = 32218871040. Its totient is φ = 30867848704.

The previous prime is 31540804499. The next prime is 31540804523.

31540804513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31540804513 - 2¹³ = 31540796321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31540804523) 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 15 ways as a sum of consecutive naturals, for example, 22971495 + ... + 22972867.

It is an arithmetic number, because the mean of its divisors is an integer number (2013679440).

Almost surely, 2^31540804513 is an apocalyptic number.

It is an amenable number.

31540804513 is a deficient number, since it is larger than the sum of its proper divisors (678066527).

31540804513 is a wasteful number, since it uses less digits than its factorization.

31540804513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 31540804513 in words is "thirty-one billion, five hundred forty million, eight hundred four thousand, five hundred thirteen".