288939575961 has 27 divisors (see below), whose sum is σ = 419701860669. Its totient is φ = 191550246912.

The previous prime is 288939575927. The next prime is 288939575993. The reversal of 288939575961 is 169575939882.

The square root of 288939575961 is 537531.

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

288939575961 is a `hidden beast` number, since 2 + 8 + 89 + 395 + 75 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49677723225 + 239261852736 = 222885^2 + 489144^2 .

It is not a de Polignac number, because 288939575961 - 2³¹ = 286792092313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288939575961.

It is not an unprimeable number, because it can be changed into a prime (288939575261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375733785 + ... + 375734553.

Almost surely, 2^288939575961 is an apocalyptic number.

288939575961 is the 537531-st square number.

288939575961 is the 268766-th centered octagonal number.

It is an amenable number.

288939575961 is a deficient number, since it is larger than the sum of its proper divisors (130762284708).

288939575961 is an frugal number, since it uses more digits than its factorization.

288939575961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

It can be divided in two parts, 288939 and 575961, that added together give a square (864900 = 930²).

The spelling of 288939575961 in words is "two hundred eighty-eight billion, nine hundred thirty-nine million, five hundred seventy-five thousand, nine hundred sixty-one".