261772275664153 has 2 divisors, whose sum is σ = 261772275664154. Its totient is φ = 261772275664152.

The previous prime is 261772275664129. The next prime is 261772275664199. The reversal of 261772275664153 is 351466572277162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259850273296384 + 1922002367769 = 16119872^2 + 1386363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-261772275664153 is a prime.

It is not a weakly prime, because it can be changed into another prime (261772275664253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130886137832076 + 130886137832077.

It is an arithmetic number, because the mean of its divisors is an integer number (130886137832077).

Almost surely, 2^{261772275664153} is an apocalyptic number.

It is an amenable number.

261772275664153 is a deficient number, since it is larger than the sum of its proper divisors (1).

261772275664153 is an equidigital number, since it uses as much as digits as its factorization.

261772275664153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 177811200, while the sum is 64.

The spelling of 261772275664153 in words is "two hundred sixty-one trillion, seven hundred seventy-two billion, two hundred seventy-five million, six hundred sixty-four thousand, one hundred fifty-three".