1291263225 has 96 divisors (see below), whose sum is σ = 2519838720. Its totient is φ = 571200000.

The previous prime is 1291263191. The next prime is 1291263269. The reversal of 1291263225 is 5223621921.

It is not a de Polignac number, because 1291263225 - 2¹⁰ = 1291262201 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5144350 + ... + 5144600.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^1291263225 is an apocalyptic number.

1291263225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1291263225 is a deficient number, since it is larger than the sum of its proper divisors (1228575495).

1291263225 is a wasteful number, since it uses less digits than its factorization.

1291263225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 1291263225 is about 35934.1512352803. The cubic root of 1291263225 is about 1088.9424484372.

The spelling of 1291263225 in words is "one billion, two hundred ninety-one million, two hundred sixty-three thousand, two hundred twenty-five".