261952 has 14 divisors (see below), whose sum is σ = 519938. Its totient is φ = 130944.

The previous prime is 261917. The next prime is 261959. The reversal of 261952 is 259162.

It can be written as a sum of positive squares in only one way, i.e., 215296 + 46656 = 464^2 + 216^2 .

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1983 + ... + 2110.

2²⁶¹⁹⁵² is an apocalyptic number.

It is an amenable number.

261952 is a deficient number, since it is larger than the sum of its proper divisors (257986).

261952 is an equidigital number, since it uses as much as digits as its factorization.

261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4095 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 261952 is about 511.8124656551. The cubic root of 261952 is about 63.9843711837.

It can be divided in two parts, 2 and 61952, that multiplied together give a square (123904 = 352²).

The spelling of 261952 in words is "two hundred sixty-one thousand, nine hundred fifty-two".