1005909625 has 32 divisors (see below), whose sum is σ = 1439283456. Its totient is φ = 687571200.

The previous prime is 1005909613. The next prime is 1005909643. The reversal of 1005909625 is 5269095001.

It is not a de Polignac number, because 1005909625 - 2¹¹ = 1005907577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301969 + ... + 305281.

It is an arithmetic number, because the mean of its divisors is an integer number (44977608).

Almost surely, 2^1005909625 is an apocalyptic number.

It is an amenable number.

1005909625 is a deficient number, since it is larger than the sum of its proper divisors (433373831).

1005909625 is an equidigital number, since it uses as much as digits as its factorization.

1005909625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 1005909625 is about 31716.0783357590. The cubic root of 1005909625 is about 1001.9660072824.

It can be divided in two parts, 100590 and 9625, that added together give a triangular number (110215 = T₄₆₉).

The spelling of 1005909625 in words is "one billion, five million, nine hundred nine thousand, six hundred twenty-five".