506567261 has 2 divisors, whose sum is σ = 506567262. Its totient is φ = 506567260.

The previous prime is 506567233. The next prime is 506567297. The reversal of 506567261 is 162765605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 442471225 + 64096036 = 21035^2 + 8006^2 .

It is a cyclic number.

It is not a de Polignac number, because 506567261 - 2¹⁸ = 506305117 is a prime.

It is a super-3 number, since 3×506567261³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506567161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253283630 + 253283631.

It is an arithmetic number, because the mean of its divisors is an integer number (253283631).

Almost surely, 2^506567261 is an apocalyptic number.

It is an amenable number.

506567261 is a deficient number, since it is larger than the sum of its proper divisors (1).

506567261 is an equidigital number, since it uses as much as digits as its factorization.

506567261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 506567261 is about 22507.0491402138. The cubic root of 506567261 is about 797.1603810685.

The spelling of 506567261 in words is "five hundred six million, five hundred sixty-seven thousand, two hundred sixty-one".