456661307561 has 2 divisors, whose sum is σ = 456661307562. Its totient is φ = 456661307560.

The previous prime is 456661307539. The next prime is 456661307639. The reversal of 456661307561 is 165703166654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314188275625 + 142473031936 = 560525^2 + 377456^2 .

It is a cyclic number.

It is not a de Polignac number, because 456661307561 - 2⁶ = 456661307497 is a prime.

It is not a weakly prime, because it can be changed into another prime (456661303561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228330653780 + 228330653781.

It is an arithmetic number, because the mean of its divisors is an integer number (228330653781).

Almost surely, 2^456661307561 is an apocalyptic number.

It is an amenable number.

456661307561 is a deficient number, since it is larger than the sum of its proper divisors (1).

456661307561 is an equidigital number, since it uses as much as digits as its factorization.

456661307561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 456661307561 in words is "four hundred fifty-six billion, six hundred sixty-one million, three hundred seven thousand, five hundred sixty-one".