1002225233205 has 96 divisors (see below), whose sum is σ = 2067739135488. Its totient is φ = 439498483200.

The previous prime is 1002225233189. The next prime is 1002225233221. The reversal of 1002225233205 is 5023325222001.

1002225233205 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 225 + 233 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (1002225233189) and next prime (1002225233221).

It is not a de Polignac number, because 1002225233205 - 2⁴ = 1002225233189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221935 + ... + 1433075.

It is an arithmetic number, because the mean of its divisors is an integer number (21538949328).

Almost surely, 2^{1002225233205} is an apocalyptic number.

1002225233205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002225233205 is an abundant number, since it is smaller than the sum of its proper divisors (1065513902283).

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

1002225233205 is a wasteful number, since it uses less digits than its factorization.

1002225233205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211267 (or 1211264 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 1002225233205 in words is "one trillion, two billion, two hundred twenty-five million, two hundred thirty-three thousand, two hundred five".