225162261522 has 96 divisors (see below), whose sum is σ = 542694162816. Its totient is φ = 66898944000.

The previous prime is 225162261497. The next prime is 225162261587.

225162261522 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 622 + 6 + 1 + 5 + 22 = 666.

225162261522 is nontrivially palindromic in base 10.

225162261522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2005138 + ... + 2114450.

It is an arithmetic number, because the mean of its divisors is an integer number (5653064196).

Almost surely, 2^225162261522 is an apocalyptic number.

225162261522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225162261522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271347081408).

225162261522 is an abundant number, since it is smaller than the sum of its proper divisors (317531901294).

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

225162261522 is a wasteful number, since it uses less digits than its factorization.

225162261522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109536 (or 109533 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 225162 and 261522, that added together give a palindrome (486684).

The spelling of 225162261522 in words is "two hundred twenty-five billion, one hundred sixty-two million, two hundred sixty-one thousand, five hundred twenty-two".