264642601 has 2 divisors, whose sum is σ = 264642602. Its totient is φ = 264642600.

The previous prime is 264642559. The next prime is 264642647. The reversal of 264642601 is 106246462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264095001 + 547600 = 16251^2 + 740^2 .

It is a cyclic number.

It is not a de Polignac number, because 264642601 - 2¹⁹ = 264118313 is a prime.

It is equal to p_14435338 and since 264642601 and 14435338 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (264642701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132321300 + 132321301.

It is an arithmetic number, because the mean of its divisors is an integer number (132321301).

Almost surely, 2^264642601 is an apocalyptic number.

It is an amenable number.

264642601 is a deficient number, since it is larger than the sum of its proper divisors (1).

264642601 is an equidigital number, since it uses as much as digits as its factorization.

264642601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 264642601 is about 16267.8394693334. The cubic root of 264642601 is about 642.0269404105.

The spelling of 264642601 in words is "two hundred sixty-four million, six hundred forty-two thousand, six hundred one".