264225025 has 9 divisors (see below), whose sum is σ = 327739843. Its totient is φ = 211315000.

The previous prime is 264225011. The next prime is 264225107. The reversal of 264225025 is 520522462.

The square root of 264225025 is 16255.

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

It can be written as a sum of positive squares in only one way, i.e., 95121009 + 169104016 = 9753^2 + 13004^2 .

It is not a de Polignac number, because 264225025 - 2¹¹ = 264222977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264224984 and 264225002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79650 + ... + 82900.

Almost surely, 2^264225025 is an apocalyptic number.

264225025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264225025 is the 16255-th square number.

264225025 is the 8128-th centered octagonal number.

It is an amenable number.

264225025 is a deficient number, since it is larger than the sum of its proper divisors (63514818).

264225025 is an frugal number, since it uses more digits than its factorization.

264225025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The cubic root of 264225025 is about 641.6890807560.

Adding to 264225025 its reverse (520522462), we get a palindrome (784747487).

The spelling of 264225025 in words is "two hundred sixty-four million, two hundred twenty-five thousand, twenty-five".