1057156168761 has 81 divisors (see below), whose sum is σ = 1952911760709. Its totient is φ = 549048654000.

The previous prime is 1057156168753. The next prime is 1057156168763. The reversal of 1057156168761 is 1678616517501.

The square root of 1057156168761 is 1028181.

It is a perfect power (a square), and thus also a powerful number.

1057156168761 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 1 + 561 + 6 + 8 + 76 + 1 = 666.

It is not a de Polignac number, because 1057156168761 - 2³ = 1057156168753 is a prime.

It is a super-2 number, since 2×1057156168761² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057156168698 and 1057156168707.

It is not an unprimeable number, because it can be changed into a prime (1057156168763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237507586 + ... + 237512036.

Almost surely, 2^{1057156168761} is an apocalyptic number.

1057156168761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1057156168761 is the 1028181-st square number.

1057156168761 is the 514091-st centered octagonal number.

It is an amenable number.

1057156168761 is a deficient number, since it is larger than the sum of its proper divisors (895755591948).

1057156168761 is an frugal number, since it uses more digits than its factorization.

1057156168761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 1057156168761 in words is "one trillion, fifty-seven billion, one hundred fifty-six million, one hundred sixty-eight thousand, seven hundred sixty-one".