261431274502633 has 2 divisors, whose sum is σ = 261431274502634. Its totient is φ = 261431274502632.

The previous prime is 261431274502597. The next prime is 261431274502663. The reversal of 261431274502633 is 336205472134162.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207694560438544 + 53736714064089 = 14411612^2 + 7330533^2 .

It is a cyclic number.

It is not a de Polignac number, because 261431274502633 - 2⁹ = 261431274502121 is a prime.

It is a super-2 number, since 2×261431274502633² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (261431274502663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130715637251316 + 130715637251317.

It is an arithmetic number, because the mean of its divisors is an integer number (130715637251317).

Almost surely, 2^{261431274502633} is an apocalyptic number.

It is an amenable number.

261431274502633 is a deficient number, since it is larger than the sum of its proper divisors (1).

261431274502633 is an equidigital number, since it uses as much as digits as its factorization.

261431274502633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 261431274502633 in words is "two hundred sixty-one trillion, four hundred thirty-one billion, two hundred seventy-four million, five hundred two thousand, six hundred thirty-three".