201017722500 has 675 divisors, whose sum is σ = 753081321993. Its totient is φ = 45193680000.

The previous prime is 201017722459. The next prime is 201017722511. The reversal of 201017722500 is 5227710102.

The square root of 201017722500 is 448350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 198914216004 + 2103506496 = 445998^2 + 45864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3295372470 + ... + 3295372530.

Almost surely, 2^201017722500 is an apocalyptic number.

201017722500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201017722500 is the 448350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201017722500

201017722500 is an abundant number, since it is smaller than the sum of its proper divisors (552063599493).

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

201017722500 is an frugal number, since it uses more digits than its factorization.

201017722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 201017722500 in words is "two hundred one billion, seventeen million, seven hundred twenty-two thousand, five hundred".