1057838985 has 96 divisors (see below), whose sum is σ = 2144413440. Its totient is φ = 472449024.

The previous prime is 1057838981. The next prime is 1057838987. The reversal of 1057838985 is 5898387501.

It is not a de Polignac number, because 1057838985 - 2² = 1057838981 is a prime.

It is a super-2 number, since 2×1057838985² = 2238046636371660450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057838981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4115977 + ... + 4116233.

It is an arithmetic number, because the mean of its divisors is an integer number (22337640).

Almost surely, 2^1057838985 is an apocalyptic number.

1057838985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057838985 is an abundant number, since it is smaller than the sum of its proper divisors (1086574455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057838985 is a wasteful number, since it uses less digits than its factorization.

1057838985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 1057838985 is about 32524.4367360912. The cubic root of 1057838985 is about 1018.9194583804.

The spelling of 1057838985 in words is "one billion, fifty-seven million, eight hundred thirty-eight thousand, nine hundred eighty-five".