261361152 has 120 divisors (see below), whose sum is σ = 812515704. Its totient is φ = 80400384.

The previous prime is 261361141. The next prime is 261361159. The reversal of 261361152 is 251163162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261361159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57723 + ... + 62085.

Almost surely, 2^261361152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406257852).

261361152 is an abundant number, since it is smaller than the sum of its proper divisors (551154552).

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

261361152 is a wasteful number, since it uses less digits than its factorization.

261361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4381 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 261361152 is about 16166.6679312714. The cubic root of 261361152 is about 639.3622814325.

The spelling of 261361152 in words is "two hundred sixty-one million, three hundred sixty-one thousand, one hundred fifty-two".