1057049685 has 12 divisors (see below), whose sum is σ = 1832219532. Its totient is φ = 563759808.

The previous prime is 1057049677. The next prime is 1057049689. The reversal of 1057049685 is 5869407501.

1057049685 is a `hidden beast` number, since 10 + 5 + 70 + 496 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 811908036 + 245141649 = 28494^2 + 15657^2 .

It is not a de Polignac number, because 1057049685 - 2³ = 1057049677 is a prime.

It is a super-2 number, since 2×1057049685² = 2234708073117198450, which 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: 23489993 = 1057049685 / (1 + 0 + 5 + 7 + 0 + 4 + 9 + 6 + 8 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057049685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057049689) 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, 11744952 + ... + 11745041.

It is an arithmetic number, because the mean of its divisors is an integer number (152684961).

Almost surely, 2^1057049685 is an apocalyptic number.

1057049685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057049685 is a deficient number, since it is larger than the sum of its proper divisors (775169847).

1057049685 is a wasteful number, since it uses less digits than its factorization.

1057049685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490004 (or 23490001 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1057049685 is about 32512.3005184192. The cubic root of 1057049685 is about 1018.6659751794.

The spelling of 1057049685 in words is "one billion, fifty-seven million, forty-nine thousand, six hundred eighty-five".