1057137205 has 32 divisors (see below), whose sum is σ = 1319804928. Its totient is φ = 812448000.

The previous prime is 1057137199. The next prime is 1057137217. The reversal of 1057137205 is 5027317501.

It is not a de Polignac number, because 1057137205 - 2⁹ = 1057136693 is a prime.

It is a super-3 number, since 3×1057137205³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399000 + ... + 3399310.

It is an arithmetic number, because the mean of its divisors is an integer number (41243904).

Almost surely, 2^1057137205 is an apocalyptic number.

It is an amenable number.

1057137205 is a deficient number, since it is larger than the sum of its proper divisors (262667723).

1057137205 is a wasteful number, since it uses less digits than its factorization.

1057137205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 1057137205 is about 32513.6464426862. The cubic root of 1057137205 is about 1018.6940883915.

The spelling of 1057137205 in words is "one billion, fifty-seven million, one hundred thirty-seven thousand, two hundred five".