1057635877601 has 32 divisors (see below), whose sum is σ = 1156499596800. Its totient is φ = 963378524160.

The previous prime is 1057635877589. The next prime is 1057635877673. The reversal of 1057635877601 is 1067785367501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057635877601 is a prime.

It is a super-2 number, since 2×1057635877601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057635877201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83344265 + ... + 83356953.

It is an arithmetic number, because the mean of its divisors is an integer number (36140612400).

Almost surely, 2^{1057635877601} is an apocalyptic number.

It is an amenable number.

1057635877601 is a deficient number, since it is larger than the sum of its proper divisors (98863719199).

1057635877601 is a wasteful number, since it uses less digits than its factorization.

1057635877601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009.

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 1057635877601 in words is "one trillion, fifty-seven billion, six hundred thirty-five million, eight hundred seventy-seven thousand, six hundred one".