61522533522516 has 96 divisors (see below), whose sum is σ = 166404832513920. Its totient is φ = 17484090265600.

The previous prime is 61522533522473. The next prime is 61522533522517.

It is a happy number.

61522533522516 is nontrivially palindromic in base 10.

61522533522516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61522533522517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48153171 + ... + 49414298.

It is an arithmetic number, because the mean of its divisors is an integer number (1733383672020).

Almost surely, 2^{61522533522516} is an apocalyptic number.

61522533522516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61522533522516 is an abundant number, since it is smaller than the sum of its proper divisors (104882298991404).

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

61522533522516 is a wasteful number, since it uses less digits than its factorization.

61522533522516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97567785 (or 97567783 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

It can be divided in two parts, 6152253 and 3522516, that added together give a palindrome (9674769).

The spelling of 61522533522516 in words is "sixty-one trillion, five hundred twenty-two billion, five hundred thirty-three million, five hundred twenty-two thousand, five hundred sixteen".