225150240510 has 192 divisors, whose sum is σ = 640435723200. Its totient is φ = 54544472064.

The previous prime is 225150240509. The next prime is 225150240551. The reversal of 225150240510 is 15042051522.

225150240510 is a `hidden beast` number, since 2 + 251 + 5 + 0 + 2 + 405 + 1 + 0 = 666.

225150240510 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 43471101 + ... + 43476279.

It is an arithmetic number, because the mean of its divisors is an integer number (3335602725).

Almost surely, 2^225150240510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225150240510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320217861600).

225150240510 is an abundant number, since it is smaller than the sum of its proper divisors (415285482690).

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

225150240510 is a wasteful number, since it uses less digits than its factorization.

225150240510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 225150240510 in words is "two hundred twenty-five billion, one hundred fifty million, two hundred forty thousand, five hundred ten".