10517261 has 2 divisors, whose sum is σ = 10517262. Its totient is φ = 10517260.

The previous prime is 10517257. The next prime is 10517291. The reversal of 10517261 is 16271501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7896100 + 2621161 = 2810^2 + 1619^2 .

It is a cyclic number.

It is not a de Polignac number, because 10517261 - 2² = 10517257 is a prime.

It is a super-2 number, since 2×10517261² = 221225557884242, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10517201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258630 + 5258631.

It is an arithmetic number, because the mean of its divisors is an integer number (5258631).

Almost surely, 2^10517261 is an apocalyptic number.

It is an amenable number.

10517261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517261 is an equidigital number, since it uses as much as digits as its factorization.

10517261 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 23.

The square root of 10517261 is about 3243.0326856201. The cubic root of 10517261 is about 219.0958831755.

Adding to 10517261 its reverse (16271501), we get a palindrome (26788762).

The spelling of 10517261 in words is "ten million, five hundred seventeen thousand, two hundred sixty-one".