128517201 has 12 divisors (see below), whose sum is σ = 185840512. Its totient is φ = 85583736.

The previous prime is 128517199. The next prime is 128517203. The reversal of 128517201 is 102715821.

128517201 is a `hidden beast` number, since 128 + 517 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (128517199) and next prime (128517203).

It is not a de Polignac number, because 128517201 - 2¹ = 128517199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128517203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1320 + ... + 16086.

Almost surely, 2^128517201 is an apocalyptic number.

It is an amenable number.

128517201 is a deficient number, since it is larger than the sum of its proper divisors (57323311).

128517201 is a wasteful number, since it uses less digits than its factorization.

128517201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15740 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 128517201 is about 11336.5427269516. The cubic root of 128517201 is about 504.6462915441.

The spelling of 128517201 in words is "one hundred twenty-eight million, five hundred seventeen thousand, two hundred one".