1057753157 has 2 divisors, whose sum is σ = 1057753158. Its totient is φ = 1057753156.

The previous prime is 1057753133. The next prime is 1057753181. The reversal of 1057753157 is 7513577501.

It is a balanced prime because it is at equal distance from previous prime (1057753133) and next prime (1057753181).

It can be written as a sum of positive squares in only one way, i.e., 1013849281 + 43903876 = 31841^2 + 6626^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057753157 - 2⁶ = 1057753093 is a prime.

It is a super-2 number, since 2×1057753157² = 2237683482286933298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057753057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528876578 + 528876579.

It is an arithmetic number, because the mean of its divisors is an integer number (528876579).

Almost surely, 2^1057753157 is an apocalyptic number.

It is an amenable number.

1057753157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057753157 is an equidigital number, since it uses as much as digits as its factorization.

1057753157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128625, while the sum is 41.

The square root of 1057753157 is about 32523.1172706430. The cubic root of 1057753157 is about 1018.8919008832.

The spelling of 1057753157 in words is "one billion, fifty-seven million, seven hundred fifty-three thousand, one hundred fifty-seven".