1009406025 has 72 divisors (see below), whose sum is σ = 1927242720. Its totient is φ = 503262720.

The previous prime is 1009406017. The next prime is 1009406029. The reversal of 1009406025 is 5206049001.

1009406025 is a `hidden beast` number, since 10 + 0 + 9 + 40 + 602 + 5 = 666.

It is not a de Polignac number, because 1009406025 - 2³ = 1009406017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1009406025.

It is not an unprimeable number, because it can be changed into a prime (1009406029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 622666 + ... + 624284.

It is an arithmetic number, because the mean of its divisors is an integer number (26767260).

Almost surely, 2^1009406025 is an apocalyptic number.

1009406025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1009406025 is a deficient number, since it is larger than the sum of its proper divisors (917836695).

1009406025 is a wasteful number, since it uses less digits than its factorization.

1009406025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1009406025 is about 31771.1508290147. The cubic root of 1009406025 is about 1003.1255623487.

The spelling of 1009406025 in words is "one billion, nine million, four hundred six thousand, twenty-five".