261713136 has 160 divisors (see below), whose sum is σ = 746380800. Its totient is φ = 78769152.

The previous prime is 261713131. The next prime is 261713161. The reversal of 261713136 is 631317162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261713131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756390 + ... + 1756538.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2^261713136 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 261713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

261713136 is an abundant number, since it is smaller than the sum of its proper divisors (484667664).

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

261713136 is a wasteful number, since it uses less digits than its factorization.

261713136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 261713136 is about 16177.5503708071. The cubic root of 261713136 is about 639.6491696988.

It can be divided in two parts, 2617 and 13136, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 261713136 in words is "two hundred sixty-one million, seven hundred thirteen thousand, one hundred thirty-six".