201057516 has 72 divisors (see below), whose sum is σ = 562318848. Its totient is φ = 60060000.

The previous prime is 201057503. The next prime is 201057517. The reversal of 201057516 is 615750102.

It is a self number, because there is not a number n which added to its sum of digits gives 201057516.

It is not an unprimeable number, because it can be changed into a prime (201057517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24541 + ... + 31691.

It is an arithmetic number, because the mean of its divisors is an integer number (7809984).

Almost surely, 2^201057516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201057516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281159424).

201057516 is an abundant number, since it is smaller than the sum of its proper divisors (361261332).

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

201057516 is a wasteful number, since it uses less digits than its factorization.

201057516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7238 counting only the distinct ones).

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

The square root of 201057516 is about 14179.4751665920. The cubic root of 201057516 is about 585.8324681156.

The spelling of 201057516 in words is "two hundred one million, fifty-seven thousand, five hundred sixteen".