288138136225 has 9 divisors (see below), whose sum is σ = 357294617017. Its totient is φ = 230508361840.

The previous prime is 288138136207. The next prime is 288138136249. The reversal of 288138136225 is 522631831882.

The square root of 288138136225 is 536785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11276953249 + 276861182976 = 106193^2 + 526176^2 .

It is not a de Polignac number, because 288138136225 - 2¹⁵ = 288138103457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2630247 + ... + 2737603.

Almost surely, 2^288138136225 is an apocalyptic number.

288138136225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288138136225 is the 536785-th square number.

288138136225 is the 268393-rd centered octagonal number.

It is an amenable number.

288138136225 is a deficient number, since it is larger than the sum of its proper divisors (69156480792).

288138136225 is an frugal number, since it uses more digits than its factorization.

288138136225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214724 (or 107362 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

Multiplying 288138136225 by its sum of digits (49), we get a square (14118768675025 = 3757495²).

The spelling of 288138136225 in words is "two hundred eighty-eight billion, one hundred thirty-eight million, one hundred thirty-six thousand, two hundred twenty-five".