61511065506 has 96 divisors (see below), whose sum is σ = 146242998720. Its totient is φ = 18530640000.

The previous prime is 61511065493. The next prime is 61511065537. The reversal of 61511065506 is 60556011516.

61511065506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61511065506² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41198896 + ... + 41200388.

It is an arithmetic number, because the mean of its divisors is an integer number (1523364570).

Almost surely, 2^61511065506 is an apocalyptic number.

61511065506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61511065506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73121499360).

61511065506 is an abundant number, since it is smaller than the sum of its proper divisors (84731933214).

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

61511065506 is a wasteful number, since it uses less digits than its factorization.

61511065506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 61511065506 in words is "sixty-one billion, five hundred eleven million, sixty-five thousand, five hundred six".