25300167955201 has 2 divisors, whose sum is σ = 25300167955202. Its totient is φ = 25300167955200.

The previous prime is 25300167955163. The next prime is 25300167955211. The reversal of 25300167955201 is 10255976100352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18933150298176 + 6367017657025 = 4351224^2 + 2523295^2 .

It is a cyclic number.

It is not a de Polignac number, because 25300167955201 - 2¹³ = 25300167947009 is a prime.

It is a super-2 number, since 2×25300167955201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25300167955211) 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, 12650083977600 + 12650083977601.

It is an arithmetic number, because the mean of its divisors is an integer number (12650083977601).

Almost surely, 2^{25300167955201} is an apocalyptic number.

It is an amenable number.

25300167955201 is a deficient number, since it is larger than the sum of its proper divisors (1).

25300167955201 is an equidigital number, since it uses as much as digits as its factorization.

25300167955201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 25300167955201 in words is "twenty-five trillion, three hundred billion, one hundred sixty-seven million, nine hundred fifty-five thousand, two hundred one".