261525216 has 48 divisors (see below), whose sum is σ = 689810688. Its totient is φ = 86755200.

The previous prime is 261525211. The next prime is 261525217. The reversal of 261525216 is 612525162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261525211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13801 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (14371056).

Almost surely, 2^261525216 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 261525216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344905344).

261525216 is an abundant number, since it is smaller than the sum of its proper divisors (428285472).

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

261525216 is a wasteful number, since it uses less digits than its factorization.

261525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135 (or 13127 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 261525216 is about 16171.7412791573. The cubic root of 261525216 is about 639.4960355518.

The spelling of 261525216 in words is "two hundred sixty-one million, five hundred twenty-five thousand, two hundred sixteen".