10205264257 has 2 divisors, whose sum is σ = 10205264258. Its totient is φ = 10205264256.

The previous prime is 10205264239. The next prime is 10205264309. The reversal of 10205264257 is 75246250201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5668433521 + 4536830736 = 75289^2 + 67356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205264257 - 2¹¹ = 10205262209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10205264057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102632128 + 5102632129.

It is an arithmetic number, because the mean of its divisors is an integer number (5102632129).

Almost surely, 2^10205264257 is an apocalyptic number.

It is an amenable number.

10205264257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205264257 is an equidigital number, since it uses as much as digits as its factorization.

10205264257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 10205264257 in words is "ten billion, two hundred five million, two hundred sixty-four thousand, two hundred fifty-seven".