456661307653 has 2 divisors, whose sum is σ = 456661307654. Its totient is φ = 456661307652.

The previous prime is 456661307639. The next prime is 456661307689. The reversal of 456661307653 is 356703166654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 438539301729 + 18122005924 = 662223^2 + 134618^2 .

It is a cyclic number.

It is not a de Polignac number, because 456661307653 - 2¹⁷ = 456661176581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456661307653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456661307693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228330653826 + 228330653827.

It is an arithmetic number, because the mean of its divisors is an integer number (228330653827).

Almost surely, 2^456661307653 is an apocalyptic number.

It is an amenable number.

456661307653 is a deficient number, since it is larger than the sum of its proper divisors (1).

456661307653 is an equidigital number, since it uses as much as digits as its factorization.

456661307653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 456661307653 in words is "four hundred fifty-six billion, six hundred sixty-one million, three hundred seven thousand, six hundred fifty-three".