1909364625 has 144 divisors (see below), whose sum is σ = 4216942080. Its totient is φ = 826459200.

The previous prime is 1909364621. The next prime is 1909364657. The reversal of 1909364625 is 5264639091.

1909364625 is a `hidden beast` number, since 19 + 0 + 9 + 3 + 6 + 4 + 625 = 666.

It is not a de Polignac number, because 1909364625 - 2² = 1909364621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1909364621) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1046464 + ... + 1048286.

It is an arithmetic number, because the mean of its divisors is an integer number (29284320).

Almost surely, 2^1909364625 is an apocalyptic number.

1909364625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1909364625 is an abundant number, since it is smaller than the sum of its proper divisors (2307577455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1909364625 is a wasteful number, since it uses less digits than its factorization.

1909364625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1909364625 is about 43696.2770153248. The cubic root of 1909364625 is about 1240.5938503516.

The spelling of 1909364625 in words is "one billion, nine hundred nine million, three hundred sixty-four thousand, six hundred twenty-five".