281295252225 has 144 divisors (see below), whose sum is σ = 587337408000. Its totient is φ = 131193717120.

The previous prime is 281295252209. The next prime is 281295252233. The reversal of 281295252225 is 522252592182.

281295252225 is a `hidden beast` number, since 2 + 8 + 12 + 95 + 2 + 522 + 25 = 666.

It is not a de Polignac number, because 281295252225 - 2⁴ = 281295252209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3123376 + ... + 3212174.

It is an arithmetic number, because the mean of its divisors is an integer number (4078732000).

Almost surely, 2^281295252225 is an apocalyptic number.

281295252225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

281295252225 is an abundant number, since it is smaller than the sum of its proper divisors (306042155775).

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

281295252225 is a wasteful number, since it uses less digits than its factorization.

281295252225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88869 (or 88839 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 281295252225 in words is "two hundred eighty-one billion, two hundred ninety-five million, two hundred fifty-two thousand, two hundred twenty-five".