2005525032 has 32 divisors (see below), whose sum is σ = 5730072000. Its totient is φ = 573007104.

The previous prime is 2005525019. The next prime is 2005525033. The reversal of 2005525032 is 2305255002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2005524993 and 2005525011.

It is not an unprimeable number, because it can be changed into a prime (2005525033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5968657 + ... + 5968992.

It is an arithmetic number, because the mean of its divisors is an integer number (179064750).

Almost surely, 2^2005525032 is an apocalyptic number.

It is an amenable number.

2005525032 is an abundant number, since it is smaller than the sum of its proper divisors (3724546968).

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

2005525032 is a wasteful number, since it uses less digits than its factorization.

2005525032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937665 (or 11937661 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2005525032 is about 44783.0886831179. The cubic root of 2005525032 is about 1261.0801672089.

The spelling of 2005525032 in words is "two billion, five million, five hundred twenty-five thousand, thirty-two".