37265656273 has 2 divisors, whose sum is σ = 37265656274. Its totient is φ = 37265656272.

The previous prime is 37265656261. The next prime is 37265656277.

37265656273 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35250813504 + 2014842769 = 187752^2 + 44887^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 37265656273 - 2²¹ = 37263559121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37265656273.

It is not a weakly prime, because it can be changed into another prime (37265656277) 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, 18632828136 + 18632828137.

It is an arithmetic number, because the mean of its divisors is an integer number (18632828137).

Almost surely, 2^37265656273 is an apocalyptic number.

It is an amenable number.

37265656273 is a deficient number, since it is larger than the sum of its proper divisors (1).

37265656273 is an equidigital number, since it uses as much as digits as its factorization.

37265656273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9525600, while the sum is 52.

The spelling of 37265656273 in words is "thirty-seven billion, two hundred sixty-five million, six hundred fifty-six thousand, two hundred seventy-three".