10713257 has 2 divisors, whose sum is σ = 10713258. Its totient is φ = 10713256.

The previous prime is 10713223. The next prime is 10713271. The reversal of 10713257 is 75231701.

10713257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10686361 + 26896 = 3269^2 + 164^2 .

It is an emirp because it is prime and its reverse (75231701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10713257 - 2¹⁸ = 10451113 is a prime.

It is a super-2 number, since 2×10713257² = 229547751096098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10713277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356628 + 5356629.

It is an arithmetic number, because the mean of its divisors is an integer number (5356629).

Almost surely, 2^10713257 is an apocalyptic number.

It is an amenable number.

10713257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10713257 is an equidigital number, since it uses as much as digits as its factorization.

10713257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10713257 is about 3273.1112110651. Note that the first 3 decimals coincide. The cubic root of 10713257 is about 220.4485133703.

Adding to 10713257 its reverse (75231701), we get a palindrome (85944958).

The spelling of 10713257 in words is "ten million, seven hundred thirteen thousand, two hundred fifty-seven".