656505624561361 has 2 divisors, whose sum is σ = 656505624561362. Its totient is φ = 656505624561360.

The previous prime is 656505624561343. The next prime is 656505624561401. The reversal of 656505624561361 is 163165426505656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 511272877486336 + 145232747075025 = 22611344^2 + 12051255^2 .

It is a cyclic number.

It is not a de Polignac number, because 656505624561361 - 2⁴³ = 647709531539153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 656505624561361.

It is not a weakly prime, because it can be changed into another prime (656505024561361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328252812280680 + 328252812280681.

It is an arithmetic number, because the mean of its divisors is an integer number (328252812280681).

Almost surely, 2^{656505624561361} is an apocalyptic number.

It is an amenable number.

656505624561361 is a deficient number, since it is larger than the sum of its proper divisors (1).

656505624561361 is an equidigital number, since it uses as much as digits as its factorization.

656505624561361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640000, while the sum is 61.

The spelling of 656505624561361 in words is "six hundred fifty-six trillion, five hundred five billion, six hundred twenty-four million, five hundred sixty-one thousand, three hundred sixty-one".