1057085114805 has 12 divisors (see below), whose sum is σ = 1832280865740. Its totient is φ = 563778727872.

The previous prime is 1057085114801. The next prime is 1057085114909. The reversal of 1057085114805 is 5084115807501.

1057085114805 is a `hidden beast` number, since 1 + 0 + 57 + 0 + 8 + 511 + 4 + 80 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 736503807204 + 320581307601 = 858198^2 + 566199^2 .

It is not a de Polignac number, because 1057085114805 - 2² = 1057085114801 is a prime.

It is a super-2 number, since 2×1057085114805² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 23490780329 = 1057085114805 / (1 + 0 + 5 + 7 + 0 + 8 + 5 + 1 + 1 + 4 + 8 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057085114801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11745390120 + ... + 11745390209.

It is an arithmetic number, because the mean of its divisors is an integer number (152690072145).

Almost surely, 2^{1057085114805} is an apocalyptic number.

1057085114805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057085114805 is a deficient number, since it is larger than the sum of its proper divisors (775195750935).

1057085114805 is a wasteful number, since it uses less digits than its factorization.

1057085114805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490780340 (or 23490780337 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 1057085114805 in words is "one trillion, fifty-seven billion, eighty-five million, one hundred fourteen thousand, eight hundred five".