61513603265322 has 144 divisors (see below), whose sum is σ = 147066657400728. Its totient is φ = 18567207659520.

The previous prime is 61513603265287. The next prime is 61513603265339. The reversal of 61513603265322 is 22356230631516.

61513603265322 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 3 + 60 + 3 + 265 + 322 = 666.

61513603265322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12505636941561 + 49007966323761 = 3536331^2 + 7000569^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1157092422 + ... + 1157145582.

Almost surely, 2^{61513603265322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61513603265322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533328700364).

61513603265322 is an abundant number, since it is smaller than the sum of its proper divisors (85553054135406).

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

61513603265322 is a wasteful number, since it uses less digits than its factorization.

61513603265322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60425 (or 60409 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 61513603265322 its reverse (22356230631516), we get a palindrome (83869833896838).

The spelling of 61513603265322 in words is "sixty-one trillion, five hundred thirteen billion, six hundred three million, two hundred sixty-five thousand, three hundred twenty-two".