61505700750516 has 72 divisors (see below), whose sum is σ = 165233647976544. Its totient is φ = 17657138957760.

The previous prime is 61505700750511. The next prime is 61505700750523.

61505700750516 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61505700750511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645315615 + ... + 645410918.

It is an arithmetic number, because the mean of its divisors is an integer number (2294911777452).

Almost surely, 2^{61505700750516} is an apocalyptic number.

61505700750516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61505700750516 is an abundant number, since it is smaller than the sum of its proper divisors (103727947226028).

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

61505700750516 is a wasteful number, since it uses less digits than its factorization.

61505700750516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290726589 (or 1290726568 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 48.

The spelling of 61505700750516 in words is "sixty-one trillion, five hundred five billion, seven hundred million, seven hundred fifty thousand, five hundred sixteen".