261936052 has 48 divisors (see below), whose sum is σ = 575447040. Its totient is φ = 101721312.

The previous prime is 261936049. The next prime is 261936053. The reversal of 261936052 is 250639162.

It is a super-2 number, since 2×261936052² = 137220990674693408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261935999 and 261936017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261936053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533 + ... + 22939.

It is an arithmetic number, because the mean of its divisors is an integer number (11988480).

Almost surely, 2^261936052 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 261936052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287723520).

261936052 is an abundant number, since it is smaller than the sum of its proper divisors (313510988).

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

261936052 is a wasteful number, since it uses less digits than its factorization.

261936052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21460 (or 21458 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 261936052 is about 16184.4385753723. The cubic root of 261936052 is about 639.8307267173.

The spelling of 261936052 in words is "two hundred sixty-one million, nine hundred thirty-six thousand, fifty-two".