37047640637561 has 2 divisors, whose sum is σ = 37047640637562. Its totient is φ = 37047640637560.

The previous prime is 37047640637537. The next prime is 37047640637699. The reversal of 37047640637561 is 16573604674073.

It is a happy number.

37047640637561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35371340759161 + 1676299878400 = 5947381^2 + 1294720^2 .

It is a cyclic number.

It is not a de Polignac number, because 37047640637561 - 2²⁶ = 37047573528697 is a prime.

It is a super-2 number, since 2×37047640637561² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37047640637561.

It is not a weakly prime, because it can be changed into another prime (37047640637521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18523820318780 + 18523820318781.

It is an arithmetic number, because the mean of its divisors is an integer number (18523820318781).

Almost surely, 2^{37047640637561} is an apocalyptic number.

It is an amenable number.

37047640637561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37047640637561 is an equidigital number, since it uses as much as digits as its factorization.

37047640637561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53343360, while the sum is 59.

The spelling of 37047640637561 in words is "thirty-seven trillion, forty-seven billion, six hundred forty million, six hundred thirty-seven thousand, five hundred sixty-one".