10406182607231 has 2 divisors, whose sum is σ = 10406182607232. Its totient is φ = 10406182607230.

The previous prime is 10406182607153. The next prime is 10406182607251. The reversal of 10406182607231 is 13270628160401.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10406182607231 - 2²⁶ = 10406115498367 is a prime.

It is a super-2 number, since 2×10406182607231² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406182607251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203091303615 + 5203091303616.

It is an arithmetic number, because the mean of its divisors is an integer number (5203091303616).

Almost surely, 2^{10406182607231} is an apocalyptic number.

10406182607231 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406182607231 is an equidigital number, since it uses as much as digits as its factorization.

10406182607231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 10406182607231 in words is "ten trillion, four hundred six billion, one hundred eighty-two million, six hundred seven thousand, two hundred thirty-one".