199516529001025 has 24 divisors (see below), whose sum is σ = 261956566664280. Its totient is φ = 150222432092160.

The previous prime is 199516529000989. The next prime is 199516529001061. The reversal of 199516529001025 is 520100925615991.

It is a happy number.

199516529001025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14125032²+1.

It is an interprime number because it is at equal distance from previous prime (199516529000989) and next prime (199516529001061).

It can be written as a sum of positive squares in 12 ways, for example, as 97434745777216 + 102081783223809 = 9870904^2 + 10103553^2 .

It is not a de Polignac number, because 199516529001025 - 2⁹ = 199516529000513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33737041 + ... + 39207409.

It is an arithmetic number, because the mean of its divisors is an integer number (10914856944345).

Almost surely, 2^{199516529001025} is an apocalyptic number.

It is an amenable number.

199516529001025 is a deficient number, since it is larger than the sum of its proper divisors (62440037663255).

199516529001025 is a wasteful number, since it uses less digits than its factorization.

199516529001025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556213 (or 5556208 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 55.

The spelling of 199516529001025 in words is "one hundred ninety-nine trillion, five hundred sixteen billion, five hundred twenty-nine million, one thousand, twenty-five".