261523120 has 20 divisors (see below), whose sum is σ = 608041440. Its totient is φ = 104609216.

The previous prime is 261523111. The next prime is 261523127. The reversal of 261523120 is 21325162.

261523120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 261523091 and 261523100.

It is not an unprimeable number, because it can be changed into a prime (261523127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634440 + ... + 1634599.

It is an arithmetic number, because the mean of its divisors is an integer number (30402072).

Almost surely, 2^261523120 is an apocalyptic number.

261523120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261523120 is an abundant number, since it is smaller than the sum of its proper divisors (346518320).

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

261523120 is a wasteful number, since it uses less digits than its factorization.

261523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269052 (or 3269046 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 261523120 is about 16171.6764746269. The cubic root of 261523120 is about 639.4943271286.

Adding to 261523120 its reverse (21325162), we get a palindrome (282848282).

The spelling of 261523120 in words is "two hundred sixty-one million, five hundred twenty-three thousand, one hundred twenty".