261535301447013 has 24 divisors (see below), whose sum is σ = 425410304606976. Its totient is φ = 153393138676800.

The previous prime is 261535301446987. The next prime is 261535301447039. The reversal of 261535301447013 is 310744103535162.

261535301447013 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 3 + 530 + 1 + 44 + 70 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (261535301446987) and next prime (261535301447039).

It is not a de Polignac number, because 261535301447013 - 2³⁸ = 261260423540069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261535301447013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261535301447813) 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 in 23 ways as a sum of consecutive naturals, for example, 42609202120 + ... + 42609208257.

It is an arithmetic number, because the mean of its divisors is an integer number (17725429358624).

Almost surely, 2^{261535301447013} is an apocalyptic number.

It is an amenable number.

261535301447013 is a deficient number, since it is larger than the sum of its proper divisors (163875003159963).

261535301447013 is a wasteful number, since it uses less digits than its factorization.

261535301447013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85218410425 (or 85218410422 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 261535301447013 in words is "two hundred sixty-one trillion, five hundred thirty-five billion, three hundred one million, four hundred forty-seven thousand, thirteen".