128052513 has 12 divisors (see below), whose sum is σ = 186872868. Its totient is φ = 84487680.

The previous prime is 128052503. The next prime is 128052527. The reversal of 128052513 is 315250821.

It is a happy number.

128052513 is a `hidden beast` number, since 128 + 0 + 525 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71622369 + 56430144 = 8463^2 + 7512^2 .

It is not a de Polignac number, because 128052513 - 2⁸ = 128052257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128052503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72468 + ... + 74213.

It is an arithmetic number, because the mean of its divisors is an integer number (15572739).

Almost surely, 2^128052513 is an apocalyptic number.

It is an amenable number.

128052513 is a deficient number, since it is larger than the sum of its proper divisors (58820355).

128052513 is a wasteful number, since it uses less digits than its factorization.

128052513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146784 (or 146781 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 128052513 is about 11316.0290296552. The cubic root of 128052513 is about 504.0373295291.

The spelling of 128052513 in words is "one hundred twenty-eight million, fifty-two thousand, five hundred thirteen".