26957103264601 has 2 divisors, whose sum is σ = 26957103264602. Its totient is φ = 26957103264600.

The previous prime is 26957103264571. The next prime is 26957103264743. The reversal of 26957103264601 is 10646230175962.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18091454094025 + 8865649170576 = 4253405^2 + 2977524^2 .

It is a cyclic number.

It is not a de Polignac number, because 26957103264601 - 2⁵ = 26957103264569 is a prime.

It is not a weakly prime, because it can be changed into another prime (26957103234601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13478551632300 + 13478551632301.

It is an arithmetic number, because the mean of its divisors is an integer number (13478551632301).

Almost surely, 2^{26957103264601} is an apocalyptic number.

It is an amenable number.

26957103264601 is a deficient number, since it is larger than the sum of its proper divisors (1).

26957103264601 is an equidigital number, since it uses as much as digits as its factorization.

26957103264601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 26957103264601 in words is "twenty-six trillion, nine hundred fifty-seven billion, one hundred three million, two hundred sixty-four thousand, six hundred one".