37137040513 has 2 divisors, whose sum is σ = 37137040514. Its totient is φ = 37137040512.

The previous prime is 37137040477. The next prime is 37137040517. The reversal of 37137040513 is 31504073173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28624579344 + 8512461169 = 169188^2 + 92263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37137040513 is a prime.

It is not a weakly prime, because it can be changed into another prime (37137040517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18568520256 + 18568520257.

It is an arithmetic number, because the mean of its divisors is an integer number (18568520257).

Almost surely, 2^37137040513 is an apocalyptic number.

It is an amenable number.

37137040513 is a deficient number, since it is larger than the sum of its proper divisors (1).

37137040513 is an equidigital number, since it uses as much as digits as its factorization.

37137040513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 34.

The spelling of 37137040513 in words is "thirty-seven billion, one hundred thirty-seven million, forty thousand, five hundred thirteen".