261522225162 has 96 divisors (see below), whose sum is σ = 633059556480. Its totient is φ = 77358960000.

The previous prime is 261522225157. The next prime is 261522225169.

261522225162 is a `hidden beast` number, since 2 + 6 + 1 + 522 + 22 + 51 + 62 = 666.

261522225162 is nontrivially palindromic in base 10.

261522225162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261522225169) by changing a digit.

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, 1327764 + ... + 1511952.

It is an arithmetic number, because the mean of its divisors is an integer number (6594370380).

Almost surely, 2^261522225162 is an apocalyptic number.

261522225162 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 261522225162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316529778240).

261522225162 is an abundant number, since it is smaller than the sum of its proper divisors (371537331318).

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

261522225162 is a wasteful number, since it uses less digits than its factorization.

261522225162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184380 (or 184377 counting only the distinct ones).

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

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

The spelling of 261522225162 in words is "two hundred sixty-one billion, five hundred twenty-two million, two hundred twenty-five thousand, one hundred sixty-two".