188400513 has 16 divisors (see below), whose sum is σ = 291794816. Its totient is φ = 105891840.

The previous prime is 188400503. The next prime is 188400529. The reversal of 188400513 is 315004881.

It is not a de Polignac number, because 188400513 - 2⁴ = 188400497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188400503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72256 + ... + 74817.

It is an arithmetic number, because the mean of its divisors is an integer number (18237176).

Almost surely, 2^188400513 is an apocalyptic number.

It is an amenable number.

188400513 is a deficient number, since it is larger than the sum of its proper divisors (103394303).

188400513 is a wasteful number, since it uses less digits than its factorization.

188400513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147144.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 188400513 is about 13725.9066367217. The cubic root of 188400513 is about 573.2719516568.

The spelling of 188400513 in words is "one hundred eighty-eight million, four hundred thousand, five hundred thirteen".