361001938002593 has 2 divisors, whose sum is σ = 361001938002594. Its totient is φ = 361001938002592.

The previous prime is 361001938002581. The next prime is 361001938002701. The reversal of 361001938002593 is 395200839100163.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213067066531489 + 147934871471104 = 14596817^2 + 12162848^2 .

It is a cyclic number.

It is not a de Polignac number, because 361001938002593 - 2³² = 360997643035297 is a prime.

It is not a weakly prime, because it can be changed into another prime (361001938002533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180500969001296 + 180500969001297.

It is an arithmetic number, because the mean of its divisors is an integer number (180500969001297).

Almost surely, 2^{361001938002593} is an apocalyptic number.

It is an amenable number.

361001938002593 is a deficient number, since it is larger than the sum of its proper divisors (1).

361001938002593 is an equidigital number, since it uses as much as digits as its factorization.

361001938002593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 361001938002593 in words is "three hundred sixty-one trillion, one billion, nine hundred thirty-eight million, two thousand, five hundred ninety-three".