45524561617961 has 2 divisors, whose sum is σ = 45524561617962. Its totient is φ = 45524561617960.

The previous prime is 45524561617949. The next prime is 45524561618027. The reversal of 45524561617961 is 16971616542554.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39125462851225 + 6399098766736 = 6255035^2 + 2529644^2 .

It is a cyclic number.

It is not a de Polignac number, because 45524561617961 - 2¹⁴ = 45524561601577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45524561617894 and 45524561617903.

It is not a weakly prime, because it can be changed into another prime (45524561617261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22762280808980 + 22762280808981.

It is an arithmetic number, because the mean of its divisors is an integer number (22762280808981).

Almost surely, 2^{45524561617961} is an apocalyptic number.

It is an amenable number.

45524561617961 is a deficient number, since it is larger than the sum of its proper divisors (1).

45524561617961 is an equidigital number, since it uses as much as digits as its factorization.

45524561617961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432000, while the sum is 62.

The spelling of 45524561617961 in words is "forty-five trillion, five hundred twenty-four billion, five hundred sixty-one million, six hundred seventeen thousand, nine hundred sixty-one".