61353020636100 has 108 divisors (see below), whose sum is σ = 192318426832896. Its totient is φ = 16359887348160.

The previous prime is 61353020636069. The next prime is 61353020636197. The reversal of 61353020636100 is 163602035316.

61353020636100 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 3 + 0 + 2 + 0 + 636 + 10 + 0 = 666.

61353020636100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14208829 + ... + 18016571.

Almost surely, 2^{61353020636100} is an apocalyptic number.

61353020636100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61353020636100 is an abundant number, since it is smaller than the sum of its proper divisors (130965406196796).

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

61353020636100 is a wasteful number, since it uses less digits than its factorization.

61353020636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825666 (or 3825656 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 61353020636100 in words is "sixty-one trillion, three hundred fifty-three billion, twenty million, six hundred thirty-six thousand, one hundred".