56582725578193 has 2 divisors, whose sum is σ = 56582725578194. Its totient is φ = 56582725578192.

The previous prime is 56582725578149. The next prime is 56582725578229. The reversal of 56582725578193 is 39187552728565.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48356544408769 + 8226181169424 = 6953887^2 + 2868132^2 .

It is a cyclic number.

It is not a de Polignac number, because 56582725578193 - 2¹⁷ = 56582725447121 is a prime.

It is not a weakly prime, because it can be changed into another prime (56582725578103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28291362789096 + 28291362789097.

It is an arithmetic number, because the mean of its divisors is an integer number (28291362789097).

Almost surely, 2^{56582725578193} is an apocalyptic number.

It is an amenable number.

56582725578193 is a deficient number, since it is larger than the sum of its proper divisors (1).

56582725578193 is an equidigital number, since it uses as much as digits as its factorization.

56582725578193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080000, while the sum is 73.

The spelling of 56582725578193 in words is "fifty-six trillion, five hundred eighty-two billion, seven hundred twenty-five million, five hundred seventy-eight thousand, one hundred ninety-three".