61330500 has 384 divisors, whose sum is σ = 251596800. Its totient is φ = 12528000.

The previous prime is 61330463. The next prime is 61330519. The reversal of 61330500 is 503316.

61330500 is a `hidden beast` number, since 613 + 3 + 0 + 50 + 0 = 666.

61330500 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 2×61330500² = 7522860460500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1039471 + ... + 1039529.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^61330500 is an apocalyptic number.

61330500 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 61330500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

61330500 is an abundant number, since it is smaller than the sum of its proper divisors (190266300).

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

61330500 is a wasteful number, since it uses less digits than its factorization.

61330500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 61330500 is about 7831.3791888785. The cubic root of 61330500 is about 394.3593738969.

Adding to 61330500 its reverse (503316), we get a palindrome (61833816).

It can be divided in two parts, 613 and 30500, that added together give a palindrome (31113).

The spelling of 61330500 in words is "sixty-one million, three hundred thirty thousand, five hundred".