7268337541 has 16 divisors (see below), whose sum is σ = 7573653360. Its totient is φ = 6966812160.

The previous prime is 7268337529. The next prime is 7268337551. The reversal of 7268337541 is 1457338627.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22752900 + 7245584641 = 4770^2 + 85121^2 .

It is a cyclic number.

It is not a de Polignac number, because 7268337541 - 2¹³ = 7268329349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7268337491 and 7268337500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268337551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5001571 + ... + 5003023.

It is an arithmetic number, because the mean of its divisors is an integer number (473353335).

Almost surely, 2^7268337541 is an apocalyptic number.

It is an amenable number.

7268337541 is a deficient number, since it is larger than the sum of its proper divisors (305315819).

7268337541 is a wasteful number, since it uses less digits than its factorization.

7268337541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616.

The product of its digits is 846720, while the sum is 46.

The square root of 7268337541 is about 85254.5455738285. The cubic root of 7268337541 is about 1937.0687248530.

It can be divided in two parts, 72683 and 37541, that added together give a square (110224 = 332²).

The spelling of 7268337541 in words is "seven billion, two hundred sixty-eight million, three hundred thirty-seven thousand, five hundred forty-one".