10507261 has 2 divisors, whose sum is σ = 10507262. Its totient is φ = 10507260.

The previous prime is 10507249. The next prime is 10507267. The reversal of 10507261 is 16270501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6859161 + 3648100 = 2619^2 + 1910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10507261 - 2⁵ = 10507229 is a prime.

It is a super-2 number, since 2×10507261² = 220805067444242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10507267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253630 + 5253631.

It is an arithmetic number, because the mean of its divisors is an integer number (5253631).

Almost surely, 2^10507261 is an apocalyptic number.

It is an amenable number.

10507261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10507261 is an equidigital number, since it uses as much as digits as its factorization.

10507261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10507261 is about 3241.4905521997. The cubic root of 10507261 is about 219.0264210598.

Adding to 10507261 its reverse (16270501), we get a palindrome (26777762).

The spelling of 10507261 in words is "ten million, five hundred seven thousand, two hundred sixty-one".