200152251 has 48 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 115805376.

The previous prime is 200152243. The next prime is 200152297. The reversal of 200152251 is 152251002.

It is not a de Polignac number, because 200152251 - 2³ = 200152243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200153251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397666 + ... + 398168.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^200152251 is an apocalyptic number.

200152251 is a deficient number, since it is larger than the sum of its proper divisors (130068549).

200152251 is a wasteful number, since it uses less digits than its factorization.

200152251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 200152251 is about 14147.5174854106. The cubic root of 200152251 is about 584.9519048779.

The spelling of 200152251 in words is "two hundred million, one hundred fifty-two thousand, two hundred fifty-one".