1057289681 has 12 divisors (see below), whose sum is σ = 1226671488. Its totient is φ = 892695672.

The previous prime is 1057289677. The next prime is 1057289693. The reversal of 1057289681 is 1869827501.

It is not a de Polignac number, because 1057289681 - 2² = 1057289677 is a prime.

It is a super-4 number, since 4×1057289681⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1057289671) 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 11 ways as a sum of consecutive naturals, for example, 14600 + ... + 48246.

It is an arithmetic number, because the mean of its divisors is an integer number (102222624).

Almost surely, 2^1057289681 is an apocalyptic number.

It is an amenable number.

1057289681 is a deficient number, since it is larger than the sum of its proper divisors (169381807).

1057289681 is an frugal number, since it uses more digits than its factorization.

1057289681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33721 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The square root of 1057289681 is about 32515.9911581978. The cubic root of 1057289681 is about 1018.7430630915.

The spelling of 1057289681 in words is "one billion, fifty-seven million, two hundred eighty-nine thousand, six hundred eighty-one".