1057135104767 has 16 divisors (see below), whose sum is σ = 1211918875392. Its totient is φ = 903293674560.

The previous prime is 1057135104761. The next prime is 1057135104833. The reversal of 1057135104767 is 7674015317501.

It is a cyclic number.

It is not a de Polignac number, because 1057135104767 - 2⁸ = 1057135104511 is a prime.

It is a super-2 number, since 2×1057135104767² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057135104761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10840667 + ... + 10937747.

It is an arithmetic number, because the mean of its divisors is an integer number (75744929712).

Almost surely, 2^{1057135104767} is an apocalyptic number.

1057135104767 is a deficient number, since it is larger than the sum of its proper divisors (154783770625).

1057135104767 is an equidigital number, since it uses as much as digits as its factorization.

1057135104767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101918.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 1057135104767 in words is "one trillion, fifty-seven billion, one hundred thirty-five million, one hundred four thousand, seven hundred sixty-seven".