200117549025 has 45 divisors (see below), whose sum is σ = 370724169673. Its totient is φ = 106718623200.

The previous prime is 200117549003. The next prime is 200117549041. The reversal of 200117549025 is 520945711002.

The square root of 200117549025 is 447345.

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 125339365089 + 74778183936 = 354033^2 + 273456^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 200117549025 - 2¹¹ = 200117546977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20125555 + ... + 20135495.

Almost surely, 2^200117549025 is an apocalyptic number.

200117549025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200117549025 is the 447345-th square number.

200117549025 is the 223673-rd centered octagonal number.

It is an amenable number.

200117549025 is a deficient number, since it is larger than the sum of its proper divisors (170606620648).

200117549025 is an frugal number, since it uses more digits than its factorization.

200117549025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19904 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 200117549025 by its sum of digits (36), we get a square (7204231764900 = 2684070²).

The spelling of 200117549025 in words is "two hundred billion, one hundred seventeen million, five hundred forty-nine thousand, twenty-five".