200001679418025 has 81 divisors (see below), whose sum is σ = 371994877080151. Its totient is φ = 106664507642160.

The previous prime is 200001679417963. The next prime is 200001679418041. The reversal of 200001679418025 is 520814976100002.

The square root of 200001679418025 is 14142195.

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

200001679418025 is a `hidden beast` number, since 200 + 0 + 0 + 1 + 6 + 7 + 9 + 418 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72000604590489 + 128001074827536 = 8485317^2 + 11313756^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 200001679418025 - 2²⁹ = 200001142547113 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5727571516 + ... + 5727606434.

Almost surely, 2^{200001679418025} is an apocalyptic number.

200001679418025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200001679418025 is the 14142195-th square number.

200001679418025 is the 7071098-th centered octagonal number.

It is an amenable number.

200001679418025 is a deficient number, since it is larger than the sum of its proper divisors (171993197662126).

200001679418025 is an frugal number, since it uses more digits than its factorization.

200001679418025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69872 (or 34927 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 200001679418025 in words is "two hundred trillion, one billion, six hundred seventy-nine million, four hundred eighteen thousand, twenty-five".