261461659253 has 2 divisors, whose sum is σ = 261461659254. Its totient is φ = 261461659252.

The previous prime is 261461659189. The next prime is 261461659307. The reversal of 261461659253 is 352956164162.

261461659253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225873968644 + 35587690609 = 475262^2 + 188647^2 .

It is a cyclic number.

It is not a de Polignac number, because 261461659253 - 2⁶ = 261461659189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261461659153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130730829626 + 130730829627.

It is an arithmetic number, because the mean of its divisors is an integer number (130730829627).

Almost surely, 2^261461659253 is an apocalyptic number.

It is an amenable number.

261461659253 is a deficient number, since it is larger than the sum of its proper divisors (1).

261461659253 is an equidigital number, since it uses as much as digits as its factorization.

261461659253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2332800, while the sum is 50.

The spelling of 261461659253 in words is "two hundred sixty-one billion, four hundred sixty-one million, six hundred fifty-nine thousand, two hundred fifty-three".