61005100600500 has 192 divisors, whose sum is σ = 203033504034816. Its totient is φ = 13943437200000.

The previous prime is 61005100600421. The next prime is 61005100600501. The reversal of 61005100600500 is 500600150016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005100600501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280566825 + ... + 280784175.

It is an arithmetic number, because the mean of its divisors is an integer number (1057466166848).

Almost surely, 2^{61005100600500} is an apocalyptic number.

61005100600500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61005100600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101516752017408).

61005100600500 is an abundant number, since it is smaller than the sum of its proper divisors (142028403434316).

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

61005100600500 is a wasteful number, since it uses less digits than its factorization.

61005100600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244111 (or 244099 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 61005100600500 its reverse (500600150016), we get a palindrome (61505700750516).

The spelling of 61005100600500 in words is "sixty-one trillion, five billion, one hundred million, six hundred thousand, five hundred".