261252 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 83520.

The previous prime is 261251. The next prime is 261271. The reversal of 261252 is 252162.

261252 is a `hidden beast` number, since 2 + 612 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (261251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁶¹²⁵² 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 261252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

261252 is an abundant number, since it is smaller than the sum of its proper divisors (444348).

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

261252 is a wasteful number, since it uses less digits than its factorization.

261252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 261252 is about 511.1281639667. The cubic root of 261252 is about 63.9273263626.

The spelling of 261252 in words is "two hundred sixty-one thousand, two hundred fifty-two".