361080265385761 has 2 divisors, whose sum is σ = 361080265385762. Its totient is φ = 361080265385760.

The previous prime is 361080265385729. The next prime is 361080265385783. The reversal of 361080265385761 is 167583562080163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250669956153600 + 110410309232161 = 15832560^2 + 10507631^2 .

It is a cyclic number.

It is not a de Polignac number, because 361080265385761 - 2⁵ = 361080265385729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 361080265385761.

It is not a weakly prime, because it can be changed into another prime (361080265385701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180540132692880 + 180540132692881.

It is an arithmetic number, because the mean of its divisors is an integer number (180540132692881).

Almost surely, 2^{361080265385761} is an apocalyptic number.

It is an amenable number.

361080265385761 is a deficient number, since it is larger than the sum of its proper divisors (1).

361080265385761 is an equidigital number, since it uses as much as digits as its factorization.

361080265385761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 361080265385761 in words is "three hundred sixty-one trillion, eighty billion, two hundred sixty-five million, three hundred eighty-five thousand, seven hundred sixty-one".