10409090667301 has 2 divisors, whose sum is σ = 10409090667302. Its totient is φ = 10409090667300.

The previous prime is 10409090667253. The next prime is 10409090667329. The reversal of 10409090667301 is 10376609090401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8124153084100 + 2284937583201 = 2850290^2 + 1511601^2 .

It is a cyclic number.

It is not a de Polignac number, because 10409090667301 - 2²¹ = 10409088570149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10409090677301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5204545333650 + 5204545333651.

It is an arithmetic number, because the mean of its divisors is an integer number (5204545333651).

Almost surely, 2^{10409090667301} is an apocalyptic number.

It is an amenable number.

10409090667301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10409090667301 is an equidigital number, since it uses as much as digits as its factorization.

10409090667301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 10409090667301 in words is "ten trillion, four hundred nine billion, ninety million, six hundred sixty-seven thousand, three hundred one".