261335412 has 72 divisors (see below), whose sum is σ = 713954696. Its totient is φ = 80123904.

The previous prime is 261335359. The next prime is 261335413. The reversal of 261335412 is 214533162.

261335412 is a `hidden beast` number, since 2 + 613 + 3 + 5 + 41 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 261274896 = 246^2 + 16164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261335413) 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, 156888 + ... + 158544.

Almost surely, 2^261335412 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 261335412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977348).

261335412 is an abundant number, since it is smaller than the sum of its proper divisors (452619284).

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

261335412 is a wasteful number, since it uses less digits than its factorization.

261335412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2012 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 261335412 is about 16165.8718292581. The cubic root of 261335412 is about 639.3412916701.

Adding to 261335412 its reverse (214533162), we get a palindrome (475868574).

It can be divided in two parts, 2613 and 35412, that added together give a square (38025 = 195²).

The spelling of 261335412 in words is "two hundred sixty-one million, three hundred thirty-five thousand, four hundred twelve".