201566315250 has 384 divisors, whose sum is σ = 573217444800. Its totient is φ = 51060326400.

The previous prime is 201566315183. The next prime is 201566315263. The reversal of 201566315250 is 52513665102.

201566315250 is a `hidden beast` number, since 2 + 0 + 15 + 6 + 631 + 5 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 357550281 + 201208764969 = 18909^2 + 448563^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880202136 + ... + 880202364.

Almost surely, 2^201566315250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201566315250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286608722400).

201566315250 is an abundant number, since it is smaller than the sum of its proper divisors (371651129550).

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

201566315250 is a wasteful number, since it uses less digits than its factorization.

201566315250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 201566315250 in words is "two hundred one billion, five hundred sixty-six million, three hundred fifteen thousand, two hundred fifty".