261430421257305 has 160 divisors (see below), whose sum is σ = 478393164184320. Its totient is φ = 136537531752960.

The previous prime is 261430421257297. The next prime is 261430421257351. The reversal of 261430421257305 is 503752124034162.

261430421257305 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 30 + 42 + 1 + 2 + 573 + 0 + 5 = 666.

261430421257305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 261430421257305 - 2³ = 261430421257297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48136697940 + ... + 48136703370.

It is an arithmetic number, because the mean of its divisors is an integer number (2989957276152).

Almost surely, 2^{261430421257305} is an apocalyptic number.

It is an amenable number.

261430421257305 is a deficient number, since it is larger than the sum of its proper divisors (216962742927015).

261430421257305 is a wasteful number, since it uses less digits than its factorization.

261430421257305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 261430421257305 in words is "two hundred sixty-one trillion, four hundred thirty billion, four hundred twenty-one million, two hundred fifty-seven thousand, three hundred five".