261107352 has 288 divisors, whose sum is σ = 862701840. Its totient is φ = 70963200.

The previous prime is 261107351. The next prime is 261107359. The reversal of 261107352 is 253701162.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261107351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6072243 + ... + 6072285.

Almost surely, 2^261107352 is an apocalyptic number.

261107352 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 261107352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431350920).

261107352 is an abundant number, since it is smaller than the sum of its proper divisors (601594488).

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

261107352 is a wasteful number, since it uses less digits than its factorization.

261107352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 261107352 is about 16158.8165408238. The cubic root of 261107352 is about 639.1552592088.

The spelling of 261107352 in words is "two hundred sixty-one million, one hundred seven thousand, three hundred fifty-two".