10506689 has 2 divisors, whose sum is σ = 10506690. Its totient is φ = 10506688.

The previous prime is 10506673. The next prime is 10506703. The reversal of 10506689 is 98660501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 2666689 = 2800^2 + 1633^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506689 - 2⁴ = 10506673 is a prime.

It is a super-2 number, since 2×10506689² = 220781027485442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10506659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253344 + 5253345.

It is an arithmetic number, because the mean of its divisors is an integer number (5253345).

Almost surely, 2^10506689 is an apocalyptic number.

It is an amenable number.

10506689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506689 is an equidigital number, since it uses as much as digits as its factorization.

10506689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 10506689 is about 3241.4023199844. The cubic root of 10506689 is about 219.0224464945.

The spelling of 10506689 in words is "ten million, five hundred six thousand, six hundred eighty-nine".