128160513 has 24 divisors (see below), whose sum is σ = 200659368. Its totient is φ = 78354432.

The previous prime is 128160509. The next prime is 128160521. The reversal of 128160513 is 315061821.

128160513 is a `hidden beast` number, since 12 + 81 + 60 + 513 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 651249 + 127509264 = 807^2 + 11292^2 .

It is not a de Polignac number, because 128160513 - 2² = 128160509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128160013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14881 + ... + 21857.

It is an arithmetic number, because the mean of its divisors is an integer number (8360807).

Almost surely, 2^128160513 is an apocalyptic number.

128160513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128160513 is a deficient number, since it is larger than the sum of its proper divisors (72498855).

128160513 is a wasteful number, since it uses less digits than its factorization.

128160513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 128160513 is about 11320.8000158999. The cubic root of 128160513 is about 504.1789920747.

The spelling of 128160513 in words is "one hundred twenty-eight million, one hundred sixty thousand, five hundred thirteen".