261160500 has 96 divisors (see below), whose sum is σ = 778377600. Its totient is φ = 68006400.

The previous prime is 261160483. The next prime is 261160519. The reversal of 261160500 is 5061162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62476 + ... + 66524.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^261160500 is an apocalyptic number.

261160500 is a gapful number since it is divisible by the number (20) 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 261160500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

261160500 is an abundant number, since it is smaller than the sum of its proper divisors (517217100).

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

261160500 is a wasteful number, since it uses less digits than its factorization.

261160500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 261160500 is about 16160.4610082757. The cubic root of 261160500 is about 639.1986226235.

It can be divided in two parts, 26 and 1160500, that added together give a triangular number (1160526 = T₁₅₂₃).

The spelling of 261160500 in words is "two hundred sixty-one million, one hundred sixty thousand, five hundred".