10402621455593 has 2 divisors, whose sum is σ = 10402621455594. Its totient is φ = 10402621455592.

The previous prime is 10402621455529. The next prime is 10402621455623. The reversal of 10402621455593 is 39555412620401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10277070289369 + 125551166224 = 3205787^2 + 354332^2 .

It is a cyclic number.

It is not a de Polignac number, because 10402621455593 - 2⁶ = 10402621455529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10402621455893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5201310727796 + 5201310727797.

It is an arithmetic number, because the mean of its divisors is an integer number (5201310727797).

Almost surely, 2^{10402621455593} is an apocalyptic number.

It is an amenable number.

10402621455593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402621455593 is an equidigital number, since it uses as much as digits as its factorization.

10402621455593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 10402621455593 in words is "ten trillion, four hundred two billion, six hundred twenty-one million, four hundred fifty-five thousand, five hundred ninety-three".