288305637481 has 9 divisors (see below), whose sum is σ = 295189984701. Its totient is φ = 281578303692.

The previous prime is 288305637479. The next prime is 288305637523. The reversal of 288305637481 is 184736503882.

The square root of 288305637481 is 536941.

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

It is not a de Polignac number, because 288305637481 - 2¹ = 288305637479 is a prime.

It is a super-2 number, since 2×288305637481² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288305607481) 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, 23082220 + ... + 23094706.

It is an arithmetic number, because the mean of its divisors is an integer number (32798887189).

Almost surely, 2^288305637481 is an apocalyptic number.

288305637481 is the 536941-st square number.

288305637481 is the 268471-st centered octagonal number.

It is an amenable number.

288305637481 is a deficient number, since it is larger than the sum of its proper divisors (6884347220).

288305637481 is an frugal number, since it uses more digits than its factorization.

288305637481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25060 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 288305637481 in words is "two hundred eighty-eight billion, three hundred five million, six hundred thirty-seven thousand, four hundred eighty-one".