261352 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 103104.

The previous prime is 261347. The next prime is 261353. The reversal of 261352 is 253162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (261353) by changing a digit.

261352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁶¹³⁵² 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 261352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

261352 is an abundant number, since it is smaller than the sum of its proper divisors (343448).

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

261352 is a wasteful number, since it uses less digits than its factorization.

261352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 261352 is about 511.2259774307. The cubic root of 261352 is about 63.9354818564.

It can be divided in two parts, 26 and 1352, that added together give a triangular number (1378 = T₅₂).

The spelling of 261352 in words is "two hundred sixty-one thousand, three hundred fifty-two".