261265752 has 96 divisors (see below), whose sum is σ = 779388480. Its totient is φ = 78406080.

The previous prime is 261265733. The next prime is 261265777. The reversal of 261265752 is 257562162.

261265752 is a `hidden beast` number, since 2 + 61 + 26 + 575 + 2 = 666.

261265752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83203 + ... + 86285.

It is an arithmetic number, because the mean of its divisors is an integer number (8118630).

Almost surely, 2^261265752 is an apocalyptic number.

261265752 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 261265752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389694240).

261265752 is an abundant number, since it is smaller than the sum of its proper divisors (518122728).

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

261265752 is a wasteful number, since it uses less digits than its factorization.

261265752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3206 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 261265752 is about 16163.7171467457. The cubic root of 261265752 is about 639.2844802953.

It can be divided in two parts, 26126 and 5752, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 261265752 in words is "two hundred sixty-one million, two hundred sixty-five thousand, seven hundred fifty-two".