275575601236801 has 2 divisors, whose sum is σ = 275575601236802. Its totient is φ = 275575601236800.

The previous prime is 275575601236751. The next prime is 275575601236843. The reversal of 275575601236801 is 108632106575572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188953863110401 + 86621738126400 = 13746049^2 + 9307080^2 .

It is a cyclic number.

It is not a de Polignac number, because 275575601236801 - 2²⁵ = 275575567682369 is a prime.

It is not a weakly prime, because it can be changed into another prime (275575601236301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 137787800618400 + 137787800618401.

It is an arithmetic number, because the mean of its divisors is an integer number (137787800618401).

Almost surely, 2^{275575601236801} is an apocalyptic number.

It is an amenable number.

275575601236801 is a deficient number, since it is larger than the sum of its proper divisors (1).

275575601236801 is an equidigital number, since it uses as much as digits as its factorization.

275575601236801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 275575601236801 in words is "two hundred seventy-five trillion, five hundred seventy-five billion, six hundred one million, two hundred thirty-six thousand, eight hundred one".