37081166561 has 2 divisors, whose sum is σ = 37081166562. Its totient is φ = 37081166560.

The previous prime is 37081166543. The next prime is 37081166699. The reversal of 37081166561 is 16566118073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34664854225 + 2416312336 = 186185^2 + 49156^2 .

It is a cyclic number.

It is not a de Polignac number, because 37081166561 - 2²⁶ = 37014057697 is a prime.

It is not a weakly prime, because it can be changed into another prime (37081166261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18540583280 + 18540583281.

It is an arithmetic number, because the mean of its divisors is an integer number (18540583281).

Almost surely, 2^37081166561 is an apocalyptic number.

It is an amenable number.

37081166561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37081166561 is an equidigital number, since it uses as much as digits as its factorization.

37081166561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 37081166561 in words is "thirty-seven billion, eighty-one million, one hundred sixty-six thousand, five hundred sixty-one".