261675737525312 has 112 divisors (see below), whose sum is σ = 567631522096128. Its totient is φ = 118699499665920.

The previous prime is 261675737525297. The next prime is 261675737525327. The reversal of 261675737525312 is 213525737576162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261675737525297) and next prime (261675737525327).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904910093 + ... + 905199219.

It is an arithmetic number, because the mean of its divisors is an integer number (5068138590144).

Almost surely, 2^{261675737525312} is an apocalyptic number.

261675737525312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261675737525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283815761048064).

261675737525312 is an abundant number, since it is smaller than the sum of its proper divisors (305955784570816).

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

261675737525312 is a wasteful number, since it uses less digits than its factorization.

261675737525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291784 (or 291774 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 62.

The spelling of 261675737525312 in words is "two hundred sixty-one trillion, six hundred seventy-five billion, seven hundred thirty-seven million, five hundred twenty-five thousand, three hundred twelve".