37407818561 has 2 divisors, whose sum is σ = 37407818562. Its totient is φ = 37407818560.

The previous prime is 37407818549. The next prime is 37407818563. The reversal of 37407818561 is 16581870473.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26619880336 + 10787938225 = 163156^2 + 103865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37407818561 is a prime.

It is a super-3 number, since 3×37407818561³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 37407818563, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37407818563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18703909280 + 18703909281.

It is an arithmetic number, because the mean of its divisors is an integer number (18703909281).

Almost surely, 2^37407818561 is an apocalyptic number.

It is an amenable number.

37407818561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37407818561 is an equidigital number, since it uses as much as digits as its factorization.

37407818561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 37407818561 in words is "thirty-seven billion, four hundred seven million, eight hundred eighteen thousand, five hundred sixty-one".