61253435216 has 80 divisors (see below), whose sum is σ = 126545721984. Its totient is φ = 28622487552.

The previous prime is 61253435207. The next prime is 61253435219.

61253435216 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 61253435216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61253435219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51602975 + ... + 51604161.

Almost surely, 2^61253435216 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 61253435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63272860992).

61253435216 is an abundant number, since it is smaller than the sum of its proper divisors (65292286768).

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

61253435216 is a wasteful number, since it uses less digits than its factorization.

61253435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The spelling of 61253435216 in words is "sixty-one billion, two hundred fifty-three million, four hundred thirty-five thousand, two hundred sixteen".