37138837661 has 2 divisors, whose sum is σ = 37138837662. Its totient is φ = 37138837660.

The previous prime is 37138837643. The next prime is 37138837663. The reversal of 37138837661 is 16673883173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21717916900 + 15420920761 = 147370^2 + 124181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37138837661 is a prime.

It is a super-2 number, since 2×37138837661² (a number of 22 digits) contains 22 as substring.

Together with 37138837663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37138837663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18569418830 + 18569418831.

It is an arithmetic number, because the mean of its divisors is an integer number (18569418831).

Almost surely, 2^37138837661 is an apocalyptic number.

It is an amenable number.

37138837661 is a deficient number, since it is larger than the sum of its proper divisors (1).

37138837661 is an equidigital number, since it uses as much as digits as its factorization.

37138837661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 53.

The spelling of 37138837661 in words is "thirty-seven billion, one hundred thirty-eight million, eight hundred thirty-seven thousand, six hundred sixty-one".