261059136 has 112 divisors (see below), whose sum is σ = 762292608. Its totient is φ = 78336000.

The previous prime is 261059101. The next prime is 261059137. The reversal of 261059136 is 631950162.

It is a happy number.

261059136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×261059136³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261059097 and 261059106.

It is not an unprimeable number, because it can be changed into a prime (261059137) 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, 101061 + ... + 103611.

It is an arithmetic number, because the mean of its divisors is an integer number (6806184).

Almost surely, 2^261059136 is an apocalyptic number.

261059136 is a gapful number since it is divisible by the number (26) 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 261059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381146304).

261059136 is an abundant number, since it is smaller than the sum of its proper divisors (501233472).

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

261059136 is a wasteful number, since it uses less digits than its factorization.

261059136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 261059136 is about 16157.3245309983. The cubic root of 261059136 is about 639.1159147184.

The spelling of 261059136 in words is "two hundred sixty-one million, fifty-nine thousand, one hundred thirty-six".