264604601 has 2 divisors, whose sum is σ = 264604602. Its totient is φ = 264604600.

The previous prime is 264604589. The next prime is 264604603. The reversal of 264604601 is 106406462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223951225 + 40653376 = 14965^2 + 6376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264604601 is a prime.

It is a super-3 number, since 3×264604601³ (a number of 26 digits) contains 333 as substring.

Together with 264604603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264604603) 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, 132302300 + 132302301.

It is an arithmetic number, because the mean of its divisors is an integer number (132302301).

Almost surely, 2^264604601 is an apocalyptic number.

It is an amenable number.

264604601 is a deficient number, since it is larger than the sum of its proper divisors (1).

264604601 is an equidigital number, since it uses as much as digits as its factorization.

264604601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 264604601 is about 16266.6714788244. The cubic root of 264604601 is about 641.9962094153.

The spelling of 264604601 in words is "two hundred sixty-four million, six hundred four thousand, six hundred one".