47580013 has 16 divisors (see below), whose sum is σ = 52417456. Its totient is φ = 42923520.

The previous prime is 47579993. The next prime is 47580037. The reversal of 47580013 is 31008574.

47580013 = 4877² + 4878².

47580013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18818244 + 28761769 = 4338^2 + 5363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47580013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47580083) 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, 171631 + ... + 171907.

It is an arithmetic number, because the mean of its divisors is an integer number (3276091).

Almost surely, 2^47580013 is an apocalyptic number.

47580013 is the 4878-th centered square number.

It is an amenable number.

47580013 is a deficient number, since it is larger than the sum of its proper divisors (4837443).

47580013 is a wasteful number, since it uses less digits than its factorization.

47580013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 47580013 is about 6897.8266867181. The cubic root of 47580013 is about 362.3610578101.

Adding to 47580013 its reverse (31008574), we get a palindrome (78588587).

The spelling of 47580013 in words is "forty-seven million, five hundred eighty thousand, thirteen".