37131681791957 has 2 divisors, whose sum is σ = 37131681791958. Its totient is φ = 37131681791956.

The previous prime is 37131681791951. The next prime is 37131681792043. The reversal of 37131681791957 is 75919718613173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20429306174641 + 16702375617316 = 4519879^2 + 4086854^2 .

It is an emirp because it is prime and its reverse (75919718613173) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37131681791957 - 2²⁸ = 37131413356501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37131681791951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18565840895978 + 18565840895979.

It is an arithmetic number, because the mean of its divisors is an integer number (18565840895979).

Almost surely, 2^{37131681791957} is an apocalyptic number.

It is an amenable number.

37131681791957 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131681791957 is an equidigital number, since it uses as much as digits as its factorization.

37131681791957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60011280, while the sum is 68.

The spelling of 37131681791957 in words is "thirty-seven trillion, one hundred thirty-one billion, six hundred eighty-one million, seven hundred ninety-one thousand, nine hundred fifty-seven".