261511005082716 has 72 divisors (see below), whose sum is σ = 683675357758848. Its totient is φ = 84196472256000.

The previous prime is 261511005082687. The next prime is 261511005082729. The reversal of 261511005082716 is 617280500115162.

261511005082716 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 1 + 100 + 508 + 27 + 16 = 666.

261511005082716 is digitally balanced in base 2, because in such base 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 23 ways as a sum of consecutive naturals, for example, 224302305 + ... + 225465176.

It is an arithmetic number, because the mean of its divisors is an integer number (9495491079984).

Almost surely, 2^{261511005082716} is an apocalyptic number.

It is an amenable number.

261511005082716 is an abundant number, since it is smaller than the sum of its proper divisors (422164352676132).

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

261511005082716 is a wasteful number, since it uses less digits than its factorization.

261511005082716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449768043 (or 449768038 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

Adding to 261511005082716 its reverse (617280500115162), we get a palindrome (878791505197878).

The spelling of 261511005082716 in words is "two hundred sixty-one trillion, five hundred eleven billion, five million, eighty-two thousand, seven hundred sixteen".