1026065617 has 16 divisors (see below), whose sum is σ = 1125867600. Its totient is φ = 930764800.

The previous prime is 1026065609. The next prime is 1026065629. The reversal of 1026065617 is 7165606201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 1025984961 = 284^2 + 32031^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026065617 - 2³ = 1026065609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026065647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344109 + ... + 347077.

It is an arithmetic number, because the mean of its divisors is an integer number (70366725).

Almost surely, 2^1026065617 is an apocalyptic number.

1026065617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1026065617 is a deficient number, since it is larger than the sum of its proper divisors (99801983).

1026065617 is a wasteful number, since it uses less digits than its factorization.

1026065617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1026065617 is about 32032.2590055712. The cubic root of 1026065617 is about 1008.6141228231.

The spelling of 1026065617 in words is "one billion, twenty-six million, sixty-five thousand, six hundred seventeen".