61330305300 has 288 divisors, whose sum is σ = 197762342400. Its totient is φ = 14549184000.

The previous prime is 61330305293. The next prime is 61330305319. The reversal of 61330305300 is 350303316.

It is a super-2 number, since 2×61330305300² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52373715 + ... + 52374885.

It is an arithmetic number, because the mean of its divisors is an integer number (686674800).

Almost surely, 2^61330305300 is an apocalyptic number.

61330305300 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 61330305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98881171200).

61330305300 is an abundant number, since it is smaller than the sum of its proper divisors (136432037100).

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

61330305300 is a wasteful number, since it uses less digits than its factorization.

61330305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

Adding to 61330305300 its reverse (350303316), we get a palindrome (61680608616).

The spelling of 61330305300 in words is "sixty-one billion, three hundred thirty million, three hundred five thousand, three hundred".