200522153209 has 81 divisors (see below), whose sum is σ = 256159443981. Its totient is φ = 156478183680.

The previous prime is 200522153159. The next prime is 200522153233. The reversal of 200522153209 is 902351225002.

The square root of 200522153209 is 447797.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50241877609 + 150280275600 = 224147^2 + 387660^2 .

It is not a de Polignac number, because 200522153209 - 2¹⁹ = 200521628921 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (200522153239) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2824255644 + ... + 2824255714.

Almost surely, 2^200522153209 is an apocalyptic number.

200522153209 is the 447797-th square number.

200522153209 is the 223899-th centered octagonal number.

It is an amenable number.

200522153209 is a deficient number, since it is larger than the sum of its proper divisors (55637290772).

200522153209 is an frugal number, since it uses more digits than its factorization.

200522153209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 200522153209 in words is "two hundred billion, five hundred twenty-two million, one hundred fifty-three thousand, two hundred nine".