209292525225 has 81 divisors (see below), whose sum is σ = 436168914597. Its totient is φ = 95654623680.

The previous prime is 209292525179. The next prime is 209292525257. The reversal of 209292525225 is 522525292902.

The square root of 209292525225 is 457485.

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 69314778729 + 139977746496 = 263277^2 + 374136^2 .

It is not a de Polignac number, because 209292525225 - 2¹³ = 209292517033 is a prime.

It is a super-3 number, since 3×209292525225³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48033747 + ... + 48038103.

Almost surely, 2^209292525225 is an apocalyptic number.

209292525225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209292525225 is the 457485-th square number.

209292525225 is the 228743-rd centered octagonal number.

It is an amenable number.

209292525225 is an abundant number, since it is smaller than the sum of its proper divisors (226876389372).

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

209292525225 is an frugal number, since it uses more digits than its factorization.

209292525225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 209292525225 in words is "two hundred nine billion, two hundred ninety-two million, five hundred twenty-five thousand, two hundred twenty-five".