25056717586993 has 2 divisors, whose sum is σ = 25056717586994. Its totient is φ = 25056717586992.

The previous prime is 25056717586961. The next prime is 25056717587051. The reversal of 25056717586993 is 39968571765052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13881824092224 + 11174893494769 = 3725832^2 + 3342887^2 .

It is a cyclic number.

It is not a de Polignac number, because 25056717586993 - 2⁵ = 25056717586961 is a prime.

It is not a weakly prime, because it can be changed into another prime (25056717586093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12528358793496 + 12528358793497.

It is an arithmetic number, because the mean of its divisors is an integer number (12528358793497).

Almost surely, 2^{25056717586993} is an apocalyptic number.

It is an amenable number.

25056717586993 is a deficient number, since it is larger than the sum of its proper divisors (1).

25056717586993 is an equidigital number, since it uses as much as digits as its factorization.

25056717586993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 857304000, while the sum is 73.

The spelling of 25056717586993 in words is "twenty-five trillion, fifty-six billion, seven hundred seventeen million, five hundred eighty-six thousand, nine hundred ninety-three".