10405959701 has 2 divisors, whose sum is σ = 10405959702. Its totient is φ = 10405959700.

The previous prime is 10405959679. The next prime is 10405959703. The reversal of 10405959701 is 10795950401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10398696676 + 7263025 = 101974^2 + 2695^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405959701 - 2⁶ = 10405959637 is a prime.

Together with 10405959703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405959703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202979850 + 5202979851.

It is an arithmetic number, because the mean of its divisors is an integer number (5202979851).

Almost surely, 2^10405959701 is an apocalyptic number.

It is an amenable number.

10405959701 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405959701 is an equidigital number, since it uses as much as digits as its factorization.

10405959701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56700, while the sum is 41.

The spelling of 10405959701 in words is "ten billion, four hundred five million, nine hundred fifty-nine thousand, seven hundred one".