61135211253116 has 96 divisors (see below), whose sum is σ = 143755288427520. Its totient is φ = 21970018252800.

The previous prime is 61135211253041. The next prime is 61135211253161.

61135211253116 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61135211253116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506645 + ... + 11069196.

It is an arithmetic number, because the mean of its divisors is an integer number (1497450921120).

Almost surely, 2^{61135211253116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61135211253116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71877644213760).

61135211253116 is an abundant number, since it is smaller than the sum of its proper divisors (82620077174404).

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

61135211253116 is a wasteful number, since it uses less digits than its factorization.

61135211253116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577195 (or 11577193 counting only the distinct ones).

The product of its digits is 32400, while the sum is 38.

It can be divided in two parts, 6113521 and 1253116, that added together give a palindrome (7366637).

The spelling of 61135211253116 in words is "sixty-one trillion, one hundred thirty-five billion, two hundred eleven million, two hundred fifty-three thousand, one hundred sixteen".