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264264577 is a prime number
BaseRepresentation
bin11111100000001…
…01101110000001
3200102021000211221
433300011232001
51020122431302
642120035041
76356132443
oct1760055601
9612230757
10264264577
11126196985
1274602a81
1342998395
1427150493
1518300937
hexfc05b81

264264577 has 2 divisors, whose sum is σ = 264264578. Its totient is φ = 264264576.

The previous prime is 264264523. The next prime is 264264587. The reversal of 264264577 is 775462462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254753521 + 9511056 = 15961^2 + 3084^2 .

It is a cyclic number.

It is not a de Polignac number, because 264264577 - 219 = 263740289 is a prime.

It is not a weakly prime, because it can be changed into another prime (264264587) 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, 132132288 + 132132289.

It is an arithmetic number, because the mean of its divisors is an integer number (132132289).

Almost surely, 2264264577 is an apocalyptic number.

It is an amenable number.

264264577 is a deficient number, since it is larger than the sum of its proper divisors (1).

264264577 is an equidigital number, since it uses as much as digits as its factorization.

264264577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 564480, while the sum is 43.

The square root of 264264577 is about 16256.2165647484. The cubic root of 264264577 is about 641.7210974310.

The spelling of 264264577 in words is "two hundred sixty-four million, two hundred sixty-four thousand, five hundred seventy-seven".