10456865401 has 2 divisors, whose sum is σ = 10456865402. Its totient is φ = 10456865400.

The previous prime is 10456865399. The next prime is 10456865407.

10456865401 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5494367376 + 4962498025 = 74124^2 + 70445^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10456865401 - 2¹ = 10456865399 is a prime.

Together with 10456865399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10456865407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5228432700 + 5228432701.

It is an arithmetic number, because the mean of its divisors is an integer number (5228432701).

Almost surely, 2^10456865401 is an apocalyptic number.

It is an amenable number.

10456865401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10456865401 is an equidigital number, since it uses as much as digits as its factorization.

10456865401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10456865401 in words is "ten billion, four hundred fifty-six million, eight hundred sixty-five thousand, four hundred one".