261122752 has 56 divisors (see below), whose sum is σ = 573127632. Its totient is φ = 117043200.

The previous prime is 261122747. The next prime is 261122791. The reversal of 261122752 is 257221162.

It is a super-2 number, since 2×261122752² = 136370183224107008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 261122752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48852 + ... + 53932.

It is an arithmetic number, because the mean of its divisors is an integer number (10234422).

Almost surely, 2^261122752 is an apocalyptic number.

261122752 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 261122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286563816).

261122752 is an abundant number, since it is smaller than the sum of its proper divisors (312004880).

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

261122752 is a wasteful number, since it uses less digits than its factorization.

261122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5167 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 261122752 is about 16159.2930538437. The cubic root of 261122752 is about 639.1678246631.

The spelling of 261122752 in words is "two hundred sixty-one million, one hundred twenty-two thousand, seven hundred fifty-two".