261883815301801 has 24 divisors (see below), whose sum is σ = 328979341601792. Its totient is φ = 204064488302400.

The previous prime is 261883815301687. The next prime is 261883815301819. The reversal of 261883815301801 is 108103518388162.

261883815301801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-261883815301801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261883815301601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289283896 + ... + 290187766.

Almost surely, 2^{261883815301801} is an apocalyptic number.

It is an amenable number.

261883815301801 is a deficient number, since it is larger than the sum of its proper divisors (67095526299991).

261883815301801 is a wasteful number, since it uses less digits than its factorization.

261883815301801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245973 (or 1245962 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 55.

The spelling of 261883815301801 in words is "two hundred sixty-one trillion, eight hundred eighty-three billion, eight hundred fifteen million, three hundred one thousand, eight hundred one".