37745532582913 has 2 divisors, whose sum is σ = 37745532582914. Its totient is φ = 37745532582912.

The previous prime is 37745532582911. The next prime is 37745532582929. The reversal of 37745532582913 is 31928523554773.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34607065231729 + 3138467351184 = 5882777^2 + 1771572^2 .

It is a cyclic number.

It is not a de Polignac number, because 37745532582913 - 2¹ = 37745532582911 is a prime.

Together with 37745532582911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37745532582911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18872766291456 + 18872766291457.

It is an arithmetic number, because the mean of its divisors is an integer number (18872766291457).

Almost surely, 2^{37745532582913} is an apocalyptic number.

It is an amenable number.

37745532582913 is a deficient number, since it is larger than the sum of its proper divisors (1).

37745532582913 is an equidigital number, since it uses as much as digits as its factorization.

37745532582913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512000, while the sum is 64.

The spelling of 37745532582913 in words is "thirty-seven trillion, seven hundred forty-five billion, five hundred thirty-two million, five hundred eighty-two thousand, nine hundred thirteen".