288885825361 has 21 divisors (see below), whose sum is σ = 337248272649. Its totient is φ = 247458402324.

The previous prime is 288885825359. The next prime is 288885825367. The reversal of 288885825361 is 163528588882.

The square root of 288885825361 is 537481.

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

It is not a de Polignac number, because 288885825361 - 2¹ = 288885825359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288885825293 and 288885825302.

It is not an unprimeable number, because it can be changed into a prime (288885825367) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 184355200 + ... + 184356766.

Almost surely, 2^288885825361 is an apocalyptic number.

288885825361 is the 537481-st square number.

288885825361 is the 268741-st centered octagonal number.

It is an amenable number.

288885825361 is a deficient number, since it is larger than the sum of its proper divisors (48362447288).

288885825361 is an frugal number, since it uses more digits than its factorization.

288885825361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1574 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 64.

Multiplying 288885825361 by its sum of digits (64), we get a square (18488692823104 = 4299848²).

The spelling of 288885825361 in words is "two hundred eighty-eight billion, eight hundred eighty-five million, eight hundred twenty-five thousand, three hundred sixty-one".