261224652 has 72 divisors (see below), whose sum is σ = 698934096. Its totient is φ = 75638784.

The previous prime is 261224647. The next prime is 261224657. The reversal of 261224652 is 256422162.

It is a happy number.

261224652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261224647) and next prime (261224657).

It is a super-2 number, since 2×261224652² = 136476637625042208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261224657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30688 + ... + 38264.

It is an arithmetic number, because the mean of its divisors is an integer number (9707418).

Almost surely, 2^261224652 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 261224652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349467048).

261224652 is an abundant number, since it is smaller than the sum of its proper divisors (437709444).

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

261224652 is a wasteful number, since it uses less digits than its factorization.

261224652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7612 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 261224652 is about 16162.4457307674. The cubic root of 261224652 is about 639.2509563581.

The spelling of 261224652 in words is "two hundred sixty-one million, two hundred twenty-four thousand, six hundred fifty-two".