264225601 has 2 divisors, whose sum is σ = 264225602. Its totient is φ = 264225600.

The previous prime is 264225589. The next prime is 264225613. The reversal of 264225601 is 106522462.

It is a balanced prime because it is at equal distance from previous prime (264225589) and next prime (264225613).

It can be written as a sum of positive squares in only one way, i.e., 264225025 + 576 = 16255^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 264225601 - 2⁵ = 264225569 is a prime.

It is a super-2 number, since 2×264225601² = 139630336447622402, which contains 22 as substring.

It is equal to p_14413843 and since 264225601 and 14413843 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264225601.

It is not a weakly prime, because it can be changed into another prime (264220601) by changing a digit.

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 as a sum of consecutive naturals, namely, 132112800 + 132112801.

It is an arithmetic number, because the mean of its divisors is an integer number (132112801).

Almost surely, 2^264225601 is an apocalyptic number.

It is an amenable number.

264225601 is a deficient number, since it is larger than the sum of its proper divisors (1).

264225601 is an equidigital number, since it uses as much as digits as its factorization.

264225601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 264225601 is about 16255.0177176157. The cubic root of 264225601 is about 641.6895470412.

It can be divided in two parts, 26422 and 5601, that added together give a palindrome (32023).

The spelling of 264225601 in words is "two hundred sixty-four million, two hundred twenty-five thousand, six hundred one".