338299273225 has 27 divisors (see below), whose sum is σ = 426704495061. Its totient is φ = 266063114400.

The previous prime is 338299273223. The next prime is 338299273231. The reversal of 338299273225 is 522372992833.

The square root of 338299273225 is 581635.

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 155826773001 + 182472500224 = 394749^2 + 427168^2 .

It is not a de Polignac number, because 338299273225 - 2¹ = 338299273223 is a prime.

It is a super-2 number, since 2×338299273225² (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 (338299273223) 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, 177397722 + ... + 177399628.

Almost surely, 2^338299273225 is an apocalyptic number.

338299273225 is the 581635-th square number.

338299273225 is the 290818-th centered octagonal number.

It is an amenable number.

338299273225 is a deficient number, since it is larger than the sum of its proper divisors (88405221836).

338299273225 is an frugal number, since it uses more digits than its factorization.

338299273225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 1973 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

It can be divided in two parts, 338299 and 273225, that added together give a square (611524 = 782²).

The spelling of 338299273225 in words is "three hundred thirty-eight billion, two hundred ninety-nine million, two hundred seventy-three thousand, two hundred twenty-five".