264578129 has 2 divisors, whose sum is σ = 264578130. Its totient is φ = 264578128.

The previous prime is 264578101. The next prime is 264578137. The reversal of 264578129 is 921875462.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263185729 + 1392400 = 16223^2 + 1180^2 .

It is a cyclic number.

It is not a de Polignac number, because 264578129 - 2¹² = 264574033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264578129.

It is not a weakly prime, because it can be changed into another prime (264578179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132289064 + 132289065.

It is an arithmetic number, because the mean of its divisors is an integer number (132289065).

Almost surely, 2^264578129 is an apocalyptic number.

It is an amenable number.

264578129 is a deficient number, since it is larger than the sum of its proper divisors (1).

264578129 is an equidigital number, since it uses as much as digits as its factorization.

264578129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 44.

The square root of 264578129 is about 16265.8577701885. The cubic root of 264578129 is about 641.9747994948.

The spelling of 264578129 in words is "two hundred sixty-four million, five hundred seventy-eight thousand, one hundred twenty-nine".