61330522500 has 405 divisors, whose sum is σ = 211438428201. Its totient is φ = 14977872000.

The previous prime is 61330522411. The next prime is 61330522501. The reversal of 61330522500 is 522503316.

The square root of 61330522500 is 247650.

It is a perfect power (a square), and thus also a powerful number.

61330522500 is a `hidden beast` number, since 6 + 133 + 0 + 5 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 60578007876 + 752514624 = 246126^2 + 27432^2 .

It is a super-2 number, since 2×61330522500² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61330522501) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 482917437 + ... + 482917563.

Almost surely, 2^61330522500 is an apocalyptic number.

61330522500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61330522500 is the 247650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61330522500

61330522500 is an abundant number, since it is smaller than the sum of its proper divisors (150107905701).

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

61330522500 is a wasteful number, since it uses less digits than its factorization.

61330522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 61330522500 in words is "sixty-one billion, three hundred thirty million, five hundred twenty-two thousand, five hundred".