201004506115506 has 96 divisors (see below), whose sum is σ = 452676142496448. Its totient is φ = 64406976163200.

The previous prime is 201004506115493. The next prime is 201004506115529. The reversal of 201004506115506 is 605511605400102.

201004506115506 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 45 + 0 + 61 + 1 + 550 + 6 = 666.

It is a super-2 number, since 2×201004506115506² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 28213861 + ... + 34612583.

It is an arithmetic number, because the mean of its divisors is an integer number (4715376484338).

Almost surely, 2^{201004506115506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201004506115506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226338071248224).

201004506115506 is an abundant number, since it is smaller than the sum of its proper divisors (251671636380942).

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

201004506115506 is a wasteful number, since it uses less digits than its factorization.

201004506115506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399336 (or 6399333 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 201004506115506 in words is "two hundred one trillion, four billion, five hundred six million, one hundred fifteen thousand, five hundred six".