1009057165 has 8 divisors (see below), whose sum is σ = 1222858008. Its totient is φ = 799252800.

The previous prime is 1009057139. The next prime is 1009057193. The reversal of 1009057165 is 5617509001.

It can be written as a sum of positive squares in 4 ways, for example, as 515017636 + 494039529 = 22694^2 + 22227^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1009057165 - 2¹³ = 1009048973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1009057165.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 998562 + ... + 999571.

It is an arithmetic number, because the mean of its divisors is an integer number (152857251).

Almost surely, 2^1009057165 is an apocalyptic number.

It is an amenable number.

1009057165 is a deficient number, since it is larger than the sum of its proper divisors (213800843).

1009057165 is a wasteful number, since it uses less digits than its factorization.

1009057165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998239.

The product of its (nonzero) digits is 9450, while the sum is 34.

The square root of 1009057165 is about 31765.6601536943. The cubic root of 1009057165 is about 1003.0099858947.

The spelling of 1009057165 in words is "one billion, nine million, fifty-seven thousand, one hundred sixty-five".