201157506 has 80 divisors (see below), whose sum is σ = 495538560. Its totient is φ = 60484320.

The previous prime is 201157477. The next prime is 201157507. The reversal of 201157506 is 605751102.

201157506 is a `hidden beast` number, since 2 + 0 + 1 + 157 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 201157506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201157507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279415 + ... + 280133.

It is an arithmetic number, because the mean of its divisors is an integer number (6194232).

Almost surely, 2^201157506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201157506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247769280).

201157506 is an abundant number, since it is smaller than the sum of its proper divisors (294381054).

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

201157506 is a wasteful number, since it uses less digits than its factorization.

201157506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 201157506 is about 14183.0005993090. Note that the first 3 decimals coincide. The cubic root of 201157506 is about 585.9295674958.

The spelling of 201157506 in words is "two hundred one million, one hundred fifty-seven thousand, five hundred six".