36783133308100 has 81 divisors (see below), whose sum is σ = 80351841708327. Its totient is φ = 14615753830080.

The previous prime is 36783133308083. The next prime is 36783133308101. The reversal of 36783133308100 is 180333138763.

The square root of 36783133308100 is 6064910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4448716203204 + 32334417104896 = 2109198^2 + 5686336^2 .

It is a super-2 number, since 2×36783133308100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36783133308101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9521906769 + ... + 9521910631.

Almost surely, 2^{36783133308100} is an apocalyptic number.

36783133308100 is the 6064910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36783133308100

36783133308100 is an abundant number, since it is smaller than the sum of its proper divisors (43568708400227).

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

36783133308100 is an frugal number, since it uses more digits than its factorization.

36783133308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 36783133308100 in words is "thirty-six trillion, seven hundred eighty-three billion, one hundred thirty-three million, three hundred eight thousand, one hundred".