26252867404801 has 2 divisors, whose sum is σ = 26252867404802. Its totient is φ = 26252867404800.

The previous prime is 26252867404789. The next prime is 26252867404807. The reversal of 26252867404801 is 10840476825262.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25542420710401 + 710446694400 = 5053951^2 + 842880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26252867404801 is a prime.

It is not a weakly prime, because it can be changed into another prime (26252867404807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13126433702400 + 13126433702401.

It is an arithmetic number, because the mean of its divisors is an integer number (13126433702401).

Almost surely, 2^{26252867404801} is an apocalyptic number.

It is an amenable number.

26252867404801 is a deficient number, since it is larger than the sum of its proper divisors (1).

26252867404801 is an equidigital number, since it uses as much as digits as its factorization.

26252867404801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 26252867404801 in words is "twenty-six trillion, two hundred fifty-two billion, eight hundred sixty-seven million, four hundred four thousand, eight hundred one".