8509261 has 2 divisors, whose sum is σ = 8509262. Its totient is φ = 8509260.

The previous prime is 8509247. The next prime is 8509301. The reversal of 8509261 is 1629058.

8509261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7946761 + 562500 = 2819^2 + 750^2 .

It is a cyclic number.

It is not a de Polignac number, because 8509261 - 2⁵ = 8509229 is a prime.

It is a super-2 number, since 2×8509261² = 144815045532242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8509211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4254630 + 4254631.

It is an arithmetic number, because the mean of its divisors is an integer number (4254631).

Almost surely, 2^8509261 is an apocalyptic number.

It is an amenable number.

8509261 is a deficient number, since it is larger than the sum of its proper divisors (1).

8509261 is an equidigital number, since it uses as much as digits as its factorization.

8509261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 8509261 is about 2917.0637634443. The cubic root of 8509261 is about 204.1568462489.

The spelling of 8509261 in words is "eight million, five hundred nine thousand, two hundred sixty-one".