261107952 has 80 divisors (see below), whose sum is σ = 773283840. Its totient is φ = 74370816.

The previous prime is 261107941. The next prime is 261107953. The reversal of 261107952 is 259701162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261107953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127674 + ... + 129702.

It is an arithmetic number, because the mean of its divisors is an integer number (9666048).

Almost surely, 2^261107952 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 261107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386641920).

261107952 is an abundant number, since it is smaller than the sum of its proper divisors (512175888).

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

261107952 is a wasteful number, since it uses less digits than its factorization.

261107952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 261107952 is about 16158.8351065292. The cubic root of 261107952 is about 639.1557487812.

The spelling of 261107952 in words is "two hundred sixty-one million, one hundred seven thousand, nine hundred fifty-two".