25727762320033 has 2 divisors, whose sum is σ = 25727762320034. Its totient is φ = 25727762320032.

The previous prime is 25727762319991. The next prime is 25727762320037. The reversal of 25727762320033 is 33002326772752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21244282159104 + 4483480160929 = 4609152^2 + 2117423^2 .

It is a cyclic number.

It is not a de Polignac number, because 25727762320033 - 2³⁷ = 25590323366561 is a prime.

It is a super-2 number, since 2×25727762320033² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25727762320037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12863881160016 + 12863881160017.

It is an arithmetic number, because the mean of its divisors is an integer number (12863881160017).

Almost surely, 2^{25727762320033} is an apocalyptic number.

It is an amenable number.

25727762320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

25727762320033 is an equidigital number, since it uses as much as digits as its factorization.

25727762320033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4445280, while the sum is 49.

The spelling of 25727762320033 in words is "twenty-five trillion, seven hundred twenty-seven billion, seven hundred sixty-two million, three hundred twenty thousand, thirty-three".