225047031757506 has 256 divisors, whose sum is σ = 612160312320000. Its totient is φ = 59818093885440.

The previous prime is 225047031757469. The next prime is 225047031757547. The reversal of 225047031757506 is 605757130740522.

225047031757506 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 4 + 70 + 3 + 17 + 57 + 506 = 666.

225047031757506 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1870670545 + ... + 1870790843.

It is an arithmetic number, because the mean of its divisors is an integer number (2391251220000).

Almost surely, 2^{225047031757506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225047031757506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306080156160000).

225047031757506 is an abundant number, since it is smaller than the sum of its proper divisors (387113280562494).

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

225047031757506 is a wasteful number, since it uses less digits than its factorization.

225047031757506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123694 (or 123688 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 225047031757506 in words is "two hundred twenty-five trillion, forty-seven billion, thirty-one million, seven hundred fifty-seven thousand, five hundred six".