128513 has 8 divisors (see below), whose sum is σ = 160320. Its totient is φ = 100080.

The previous prime is 128509. The next prime is 128519. The reversal of 128513 is 315821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 128513 - 2² = 128509 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (20040).

128513 is a Friedman number, since it can be written as 251*8^3+1, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 251 ⋅ 2⁹ + 1 and 251 < 2⁹.

2¹²⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

128513 is a deficient number, since it is larger than the sum of its proper divisors (31807).

128513 is a wasteful number, since it uses less digits than its factorization.

128513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687.

The product of its digits is 240, while the sum is 20.

The square root of 128513 is about 358.4870987916. The cubic root of 128513 is about 50.4640792819.

The spelling of 128513 in words is "one hundred twenty-eight thousand, five hundred thirteen".