260523472225 has 81 divisors (see below), whose sum is σ = 346969876491. Its totient is φ = 194039366400.

The previous prime is 260523472043. The next prime is 260523472273. The reversal of 260523472225 is 522274325062.

The square root of 260523472225 is 510415.

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

It can be written as a sum of positive squares in 13 ways, for example, as 135105499489 + 125417972736 = 367567^2 + 354144^2 .

It is not a de Polignac number, because 260523472225 - 2¹⁵ = 260523439457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2927229981 + ... + 2927230069.

Almost surely, 2^260523472225 is an apocalyptic number.

260523472225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

260523472225 is the 510415-th square number.

260523472225 is the 255208-th centered octagonal number.

It is an amenable number.

260523472225 is a deficient number, since it is larger than the sum of its proper divisors (86446404266).

260523472225 is an frugal number, since it uses more digits than its factorization.

260523472225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

Adding to 260523472225 its reverse (522274325062), we get a palindrome (782797797287).

The spelling of 260523472225 in words is "two hundred sixty billion, five hundred twenty-three million, four hundred seventy-two thousand, two hundred twenty-five".