4005301137 has 24 divisors (see below), whose sum is σ = 5643713376. Its totient is φ = 2526323904.

The previous prime is 4005301129. The next prime is 4005301151. The reversal of 4005301137 is 7311035004.

It is not a de Polignac number, because 4005301137 - 2³ = 4005301129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4005301117) 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 23 ways as a sum of consecutive naturals, for example, 1012798 + ... + 1016744.

It is an arithmetic number, because the mean of its divisors is an integer number (235154724).

Almost surely, 2^4005301137 is an apocalyptic number.

It is an amenable number.

4005301137 is a deficient number, since it is larger than the sum of its proper divisors (1638412239).

4005301137 is a wasteful number, since it uses less digits than its factorization.

4005301137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 4005301137 is about 63287.4484949425. The cubic root of 4005301137 is about 1588.1019949473.

The spelling of 4005301137 in words is "four billion, five million, three hundred one thousand, one hundred thirty-seven".