199251152991 has 64 divisors (see below), whose sum is σ = 339897753600. Its totient is φ = 114089666400.

The previous prime is 199251152929. The next prime is 199251153041.

It is a happy number.

199251152991 is a `hidden beast` number, since 1 + 9 + 9 + 25 + 1 + 1 + 529 + 91 = 666.

199251152991 is nontrivially palindromic in base 10.

199251152991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 199251152991 - 2⁶ = 199251152927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199251152921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2022876 + ... + 2119086.

It is an arithmetic number, because the mean of its divisors is an integer number (5310902400).

Almost surely, 2^199251152991 is an apocalyptic number.

199251152991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

199251152991 is a deficient number, since it is larger than the sum of its proper divisors (140646600609).

199251152991 is a wasteful number, since it uses less digits than its factorization.

199251152991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96617 (or 96611 counting only the distinct ones).

The product of its digits is 656100, while the sum is 54.

The spelling of 199251152991 in words is "one hundred ninety-nine billion, two hundred fifty-one million, one hundred fifty-two thousand, nine hundred ninety-one".