1057205565 has 24 divisors (see below), whose sum is σ = 1973451480. Its totient is φ = 520470144.

The previous prime is 1057205563. The next prime is 1057205593. The reversal of 1057205565 is 5655027501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 161340804 + 895864761 = 12702^2 + 29931^2 .

It is not a de Polignac number, because 1057205565 - 2¹ = 1057205563 is a prime.

It is a super-2 number, since 2×1057205565² = 2235367213333938450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057205563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903010 + ... + 904179.

It is an arithmetic number, because the mean of its divisors is an integer number (82227145).

Almost surely, 2^1057205565 is an apocalyptic number.

1057205565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057205565 is a deficient number, since it is larger than the sum of its proper divisors (916245915).

1057205565 is a wasteful number, since it uses less digits than its factorization.

1057205565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807213 (or 1807210 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 1057205565 is about 32514.6976765893. The cubic root of 1057205565 is about 1018.7160459408.

The spelling of 1057205565 in words is "one billion, fifty-seven million, two hundred five thousand, five hundred sixty-five".