10506257 has 2 divisors, whose sum is σ = 10506258. Its totient is φ = 10506256.

The previous prime is 10506247. The next prime is 10506263. The reversal of 10506257 is 75260501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7974976 + 2531281 = 2824^2 + 1591^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506257 - 2¹² = 10502161 is a prime.

It is a super-2 number, since 2×10506257² = 220762872300098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10506227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253128 + 5253129.

It is an arithmetic number, because the mean of its divisors is an integer number (5253129).

Almost surely, 2^10506257 is an apocalyptic number.

It is an amenable number.

10506257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506257 is an equidigital number, since it uses as much as digits as its factorization.

10506257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 10506257 is about 3241.3356814745. The cubic root of 10506257 is about 219.0194446292.

Adding to 10506257 its reverse (75260501), we get a palindrome (85766758).

The spelling of 10506257 in words is "ten million, five hundred six thousand, two hundred fifty-seven".