288604253961 has 63 divisors (see below), whose sum is σ = 439264809253. Its totient is φ = 189530863200.

The previous prime is 288604253911. The next prime is 288604254017. The reversal of 288604253961 is 169352406882.

The square root of 288604253961 is 537219.

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

288604253961 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 0 + 42 + 539 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256152393225 + 32451860736 = 506115^2 + 180144^2 .

It is not a de Polignac number, because 288604253961 - 2¹¹ = 288604251913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288604253898 and 288604253907.

It is not an unprimeable number, because it can be changed into a prime (288604253911) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1464996115 + ... + 1464996311.

Almost surely, 2^288604253961 is an apocalyptic number.

288604253961 is the 537219-th square number.

288604253961 is the 268610-th centered octagonal number.

It is an amenable number.

288604253961 is a deficient number, since it is larger than the sum of its proper divisors (150660555292).

288604253961 is an frugal number, since it uses more digits than its factorization.

288604253961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 288604253961 in words is "two hundred eighty-eight billion, six hundred four million, two hundred fifty-three thousand, nine hundred sixty-one".