1017057065 has 16 divisors (see below), whose sum is σ = 1233178128. Its totient is φ = 805195776.

The previous prime is 1017057053. The next prime is 1017057089. The reversal of 1017057065 is 5607507101.

1017057065 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 486952489 + 530104576 = 22067^2 + 23024^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017057065 - 2⁴ = 1017057049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 571457 + ... + 573233.

It is an arithmetic number, because the mean of its divisors is an integer number (77073633).

Almost surely, 2^1017057065 is an apocalyptic number.

It is an amenable number.

1017057065 is a deficient number, since it is larger than the sum of its proper divisors (216121063).

1017057065 is a wasteful number, since it uses less digits than its factorization.

1017057065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1017057065 is about 31891.3321295928. The cubic root of 1017057065 is about 1005.6536641770.

The spelling of 1017057065 in words is "one billion, seventeen million, fifty-seven thousand, sixty-five".