1005225600 has 96 divisors (see below), whose sum is σ = 3310993440. Its totient is φ = 268057600.

The previous prime is 1005225587. The next prime is 1005225601. The reversal of 1005225600 is 65225001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1005225601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42756 + ... + 61955.

It is an arithmetic number, because the mean of its divisors is an integer number (34489515).

Almost surely, 2^1005225600 is an apocalyptic number.

1005225600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005225600 is an abundant number, since it is smaller than the sum of its proper divisors (2305767840).

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

1005225600 is a wasteful number, since it uses less digits than its factorization.

1005225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104738 (or 104721 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1005225600 is about 31705.2929335151. The cubic root of 1005225600 is about 1001.7388413449.

The spelling of 1005225600 in words is "one billion, five million, two hundred twenty-five thousand, six hundred".