10540757 has 2 divisors, whose sum is σ = 10540758. Its totient is φ = 10540756.

The previous prime is 10540741. The next prime is 10540769. The reversal of 10540757 is 75704501.

10540757 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., 7474756 + 3066001 = 2734^2 + 1751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540757 - 2⁴ = 10540741 is a prime.

It is a super-2 number, since 2×10540757² = 222215116266098, 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 (10540457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270378 + 5270379.

It is an arithmetic number, because the mean of its divisors is an integer number (5270379).

Almost surely, 2^10540757 is an apocalyptic number.

It is an amenable number.

10540757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540757 is an equidigital number, since it uses as much as digits as its factorization.

10540757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 10540757 is about 3246.6531998352. The cubic root of 10540757 is about 219.2589182755.

The spelling of 10540757 in words is "ten million, five hundred forty thousand, seven hundred fifty-seven".