45258765961 has 2 divisors, whose sum is σ = 45258765962. Its totient is φ = 45258765960.

The previous prime is 45258765941. The next prime is 45258765973. The reversal of 45258765961 is 16956785254.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45174951936 + 83814025 = 212544^2 + 9155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45258765961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45258765896 and 45258765905.

It is not a weakly prime, because it can be changed into another prime (45258765901) 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, 22629382980 + 22629382981.

It is an arithmetic number, because the mean of its divisors is an integer number (22629382981).

Almost surely, 2^45258765961 is an apocalyptic number.

It is an amenable number.

45258765961 is a deficient number, since it is larger than the sum of its proper divisors (1).

45258765961 is an equidigital number, since it uses as much as digits as its factorization.

45258765961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144000, while the sum is 58.

The spelling of 45258765961 in words is "forty-five billion, two hundred fifty-eight million, seven hundred sixty-five thousand, nine hundred sixty-one".