2005193925 has 108 divisors (see below), whose sum is σ = 4313402496. Its totient is φ = 886939200.

The previous prime is 2005193917. The next prime is 2005193933. The reversal of 2005193925 is 5293915002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005193917) and next prime (2005193933).

It is not a de Polignac number, because 2005193925 - 2³ = 2005193917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005193925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 338842 + ... + 344708.

It is an arithmetic number, because the mean of its divisors is an integer number (39938912).

Almost surely, 2^2005193925 is an apocalyptic number.

2005193925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005193925 is an abundant number, since it is smaller than the sum of its proper divisors (2308208571).

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

2005193925 is a wasteful number, since it uses less digits than its factorization.

2005193925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2005193925 is about 44779.3917444174. The cubic root of 2005193925 is about 1261.0107630304.

The spelling of 2005193925 in words is "two billion, five million, one hundred ninety-three thousand, nine hundred twenty-five".