10501257 has 32 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 5935104.

The previous prime is 10501241. The next prime is 10501279. The reversal of 10501257 is 75210501.

It is not a de Polignac number, because 10501257 - 2⁴ = 10501241 is a prime.

It is a super-2 number, since 2×10501257² = 220552797160098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10501237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30993 + ... + 31329.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 2^10501257 is an apocalyptic number.

10501257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10501257 is a deficient number, since it is larger than the sum of its proper divisors (5852535).

10501257 is a wasteful number, since it uses less digits than its factorization.

10501257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10501257 is about 3240.5643027103. The cubic root of 10501257 is about 218.9846948291.

Adding to 10501257 its reverse (75210501), we get a palindrome (85711758).

The spelling of 10501257 in words is "ten million, five hundred one thousand, two hundred fifty-seven".