225241261000 has 64 divisors (see below), whose sum is σ = 602359505280. Its totient is φ = 77225572800.

The previous prime is 225241260973. The next prime is 225241261019. The reversal of 225241261000 is 162142522.

225241261000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16081662 + ... + 16095661.

It is an arithmetic number, because the mean of its divisors is an integer number (9411867270).

Almost surely, 2^225241261000 is an apocalyptic number.

225241261000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225241261000 is an abundant number, since it is smaller than the sum of its proper divisors (377118244280).

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

225241261000 is a wasteful number, since it uses less digits than its factorization.

225241261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32177351 (or 32177337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 225241261000 in words is "two hundred twenty-five billion, two hundred forty-one million, two hundred sixty-one thousand".