225051512532552 has 192 divisors, whose sum is σ = 621376211055600. Its totient is φ = 73571726131200.

The previous prime is 225051512532547. The next prime is 225051512532589. The reversal of 225051512532552 is 255235215150522.

225051512532552 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 51 + 5 + 12 + 5 + 32 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81506336823396 + 143545175709156 = 9028086^2 + 11981034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225051512532498 and 225051512532507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2866968568 + ... + 2867047064.

Almost surely, 2^{225051512532552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225051512532552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310688105527800).

225051512532552 is an abundant number, since it is smaller than the sum of its proper divisors (396324698523048).

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

225051512532552 is a wasteful number, since it uses less digits than its factorization.

225051512532552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82336 (or 82329 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 225051512532552 in words is "two hundred twenty-five trillion, fifty-one billion, five hundred twelve million, five hundred thirty-two thousand, five hundred fifty-two".