10256717640461 has 2 divisors, whose sum is σ = 10256717640462. Its totient is φ = 10256717640460.

The previous prime is 10256717640443. The next prime is 10256717640509. The reversal of 10256717640461 is 16404671765201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8193849000100 + 2062868640361 = 2862490^2 + 1436269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10256717640461 - 2⁶ = 10256717640397 is a prime.

It is a super-2 number, since 2×10256717640461² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10256717642461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128358820230 + 5128358820231.

It is an arithmetic number, because the mean of its divisors is an integer number (5128358820231).

Almost surely, 2^{10256717640461} is an apocalyptic number.

It is an amenable number.

10256717640461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10256717640461 is an equidigital number, since it uses as much as digits as its factorization.

10256717640461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 10256717640461 in words is "ten trillion, two hundred fifty-six billion, seven hundred seventeen million, six hundred forty thousand, four hundred sixty-one".