1057175267056 has 40 divisors (see below), whose sum is σ = 2087489115360. Its totient is φ = 518473802496.

The previous prime is 1057175267053. The next prime is 1057175267069. The reversal of 1057175267056 is 6507625717501.

1057175267056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1057175267056³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1057175266994 and 1057175267012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057175267053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2998605 + ... + 3332563.

It is an arithmetic number, because the mean of its divisors is an integer number (52187227884).

Almost surely, 2^{1057175267056} is an apocalyptic number.

1057175267056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057175267056 is a deficient number, since it is larger than the sum of its proper divisors (1030313848304).

1057175267056 is a wasteful number, since it uses less digits than its factorization.

1057175267056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337753 (or 337747 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 52.

It can be divided in two parts, 1057175 and 267056, that added together give a palindrome (1324231).

The spelling of 1057175267056 in words is "one trillion, fifty-seven billion, one hundred seventy-five million, two hundred sixty-seven thousand, fifty-six".