1295784009 has 45 divisors (see below), whose sum is σ = 2056617329. Its totient is φ = 786174480.

The previous prime is 1295783999. The next prime is 1295784023. The reversal of 1295784009 is 9004875921.

The square root of 1295784009 is 35997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 642470409 + 653313600 = 25347^2 + 25560^2 .

It is not a de Polignac number, because 1295784009 - 2⁹ = 1295783497 is a prime.

It is a super-2 number, since 2×1295784009² = 3358112395960224162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1295784709) 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 44 ways as a sum of consecutive naturals, for example, 18250444 + ... + 18250514.

Almost surely, 2^1295784009 is an apocalyptic number.

1295784009 is the 35997-th square number.

1295784009 is the 17999-th centered octagonal number.

It is an amenable number.

1295784009 is a deficient number, since it is larger than the sum of its proper divisors (760833320).

1295784009 is an frugal number, since it uses more digits than its factorization.

1295784009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 1295784009 is about 1090.2117841716.

The spelling of 1295784009 in words is "one billion, two hundred ninety-five million, seven hundred eighty-four thousand, nine".