6013537209 has 9 divisors (see below), whose sum is σ = 8686556463. Its totient is φ = 4008869712.

The previous prime is 6013537171. The next prime is 6013537217. The reversal of 6013537209 is 9027353106.

The square root of 6013537209 is 77547.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78375609 + 5935161600 = 8853^2 + 77040^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-6013537209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6013537219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219717 + ... + 245565.

Almost surely, 2^6013537209 is an apocalyptic number.

6013537209 is the 77547-th square number.

6013537209 is the 38774-th centered octagonal number.

It is an amenable number.

6013537209 is a deficient number, since it is larger than the sum of its proper divisors (2673019254).

6013537209 is an frugal number, since it uses more digits than its factorization.

6013537209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51704 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The cubic root of 6013537209 is about 1818.4861630817.

Multiplying 6013537209 by its sum of digits (36), we get a square (216487339524 = 465282²).

It can be divided in two parts, 60135 and 37209, that added together give a square (97344 = 312²).

The spelling of 6013537209 in words is "six billion, thirteen million, five hundred thirty-seven thousand, two hundred nine".