26361006257 has 2 divisors, whose sum is σ = 26361006258. Its totient is φ = 26361006256.

The previous prime is 26361006241. The next prime is 26361006263. The reversal of 26361006257 is 75260016362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25920678001 + 440328256 = 160999^2 + 20984^2 .

It is a cyclic number.

It is not a de Polignac number, because 26361006257 - 2⁴ = 26361006241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26361006257.

It is not a weakly prime, because it can be changed into another prime (26361006227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13180503128 + 13180503129.

It is an arithmetic number, because the mean of its divisors is an integer number (13180503129).

Almost surely, 2^26361006257 is an apocalyptic number.

It is an amenable number.

26361006257 is a deficient number, since it is larger than the sum of its proper divisors (1).

26361006257 is an equidigital number, since it uses as much as digits as its factorization.

26361006257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 26361006257 in words is "twenty-six billion, three hundred sixty-one million, six thousand, two hundred fifty-seven".