261585651262272 has 112 divisors (see below), whose sum is σ = 716876590843392. Its totient is φ = 84094472816640.

The previous prime is 261585651262253. The next prime is 261585651262301. The reversal of 261585651262272 is 272262156585162.

261585651262272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73254703 + ... + 76742574.

It is an arithmetic number, because the mean of its divisors is an integer number (6400683846816).

Almost surely, 2^{261585651262272} is an apocalyptic number.

It is an amenable number.

261585651262272 is an abundant number, since it is smaller than the sum of its proper divisors (455290939581120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261585651262272 is a wasteful number, since it uses less digits than its factorization.

261585651262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149997616 (or 149997606 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 261585651262272 in words is "two hundred sixty-one trillion, five hundred eighty-five billion, six hundred fifty-one million, two hundred sixty-two thousand, two hundred seventy-two".