1057205205 has 48 divisors (see below), whose sum is σ = 2097239040. Its totient is φ = 482609664.

The previous prime is 1057205203. The next prime is 1057205243. The reversal of 1057205205 is 5025027501.

It is a happy number.

It is not a de Polignac number, because 1057205205 - 2¹ = 1057205203 is a prime.

It is a super-2 number, since 2×1057205205² = 2235365690958184050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057205203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269901 + ... + 273789.

It is an arithmetic number, because the mean of its divisors is an integer number (43692480).

Almost surely, 2^1057205205 is an apocalyptic number.

1057205205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057205205 is a deficient number, since it is larger than the sum of its proper divisors (1040033835).

1057205205 is a wasteful number, since it uses less digits than its factorization.

1057205205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1057205205 is about 32514.6921406308. The cubic root of 1057205205 is about 1018.7159303096.

The spelling of 1057205205 in words is "one billion, fifty-seven million, two hundred five thousand, two hundred five".