261564636003037 has 2 divisors, whose sum is σ = 261564636003038. Its totient is φ = 261564636003036.

The previous prime is 261564636002987. The next prime is 261564636003241. The reversal of 261564636003037 is 730300636465162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241387524295801 + 20177111707236 = 15536651^2 + 4491894^2 .

It is a cyclic number.

It is not a de Polignac number, because 261564636003037 - 2³⁹ = 261014880189149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261564636033037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130782318001518 + 130782318001519.

It is an arithmetic number, because the mean of its divisors is an integer number (130782318001519).

Almost surely, 2^{261564636003037} is an apocalyptic number.

It is an amenable number.

261564636003037 is a deficient number, since it is larger than the sum of its proper divisors (1).

261564636003037 is an equidigital number, since it uses as much as digits as its factorization.

261564636003037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 52.

The spelling of 261564636003037 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, six hundred thirty-six million, three thousand, thirty-seven".