261748801 has 2 divisors, whose sum is σ = 261748802. Its totient is φ = 261748800.

The previous prime is 261748759. The next prime is 261748819. The reversal of 261748801 is 108847162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185640625 + 76108176 = 13625^2 + 8724^2 .

It is a cyclic number.

It is not a de Polignac number, because 261748801 - 2¹⁵ = 261716033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (261748831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130874400 + 130874401.

It is an arithmetic number, because the mean of its divisors is an integer number (130874401).

Almost surely, 2^261748801 is an apocalyptic number.

It is an amenable number.

261748801 is a deficient number, since it is larger than the sum of its proper divisors (1).

261748801 is an equidigital number, since it uses as much as digits as its factorization.

261748801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 261748801 is about 16178.6526324042. The cubic root of 261748801 is about 639.6782244771.

The spelling of 261748801 in words is "two hundred sixty-one million, seven hundred forty-eight thousand, eight hundred one".