1057135104511 has 2 divisors, whose sum is σ = 1057135104512. Its totient is φ = 1057135104510.

The previous prime is 1057135104499. The next prime is 1057135104523. The reversal of 1057135104511 is 1154015317501.

It is a balanced prime because it is at equal distance from previous prime (1057135104499) and next prime (1057135104523).

It is a cyclic number.

It is not a de Polignac number, because 1057135104511 - 2²⁵ = 1057101550079 is a prime.

It is a super-2 number, since 2×1057135104511² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057135104211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528567552255 + 528567552256.

It is an arithmetic number, because the mean of its divisors is an integer number (528567552256).

Almost surely, 2^{1057135104511} is an apocalyptic number.

1057135104511 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057135104511 is an equidigital number, since it uses as much as digits as its factorization.

1057135104511 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10500, while the sum is 34.

The spelling of 1057135104511 in words is "one trillion, fifty-seven billion, one hundred thirty-five million, one hundred four thousand, five hundred eleven".