26566046472257 has 2 divisors, whose sum is σ = 26566046472258. Its totient is φ = 26566046472256.

The previous prime is 26566046472211. The next prime is 26566046472269. The reversal of 26566046472257 is 75227464066562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26182880520241 + 383165952016 = 5116921^2 + 619004^2 .

It is a cyclic number.

It is not a de Polignac number, because 26566046472257 - 2²⁰ = 26566045423681 is a prime.

It is a super-2 number, since 2×26566046472257² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26566046472257.

It is not a weakly prime, because it can be changed into another prime (26566046492257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13283023236128 + 13283023236129.

It is an arithmetic number, because the mean of its divisors is an integer number (13283023236129).

Almost surely, 2^{26566046472257} is an apocalyptic number.

It is an amenable number.

26566046472257 is a deficient number, since it is larger than the sum of its proper divisors (1).

26566046472257 is an equidigital number, since it uses as much as digits as its factorization.

26566046472257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 203212800, while the sum is 62.

The spelling of 26566046472257 in words is "twenty-six trillion, five hundred sixty-six billion, forty-six million, four hundred seventy-two thousand, two hundred fifty-seven".