261713952 has 72 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 86002560.

The previous prime is 261713899. The next prime is 261713957. The reversal of 261713952 is 259317162.

261713952 is a `hidden beast` number, since 2 + 617 + 1 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (261713957) 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, 14049 + ... + 26847.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2^261713952 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 261713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

261713952 is an abundant number, since it is smaller than the sum of its proper divisors (493076448).

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

261713952 is a wasteful number, since it uses less digits than its factorization.

261713952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12875 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 261713952 is about 16177.5755909221. The cubic root of 261713952 is about 639.6498344893.

The spelling of 261713952 in words is "two hundred sixty-one million, seven hundred thirteen thousand, nine hundred fifty-two".