261315031065120 has 144 divisors (see below), whose sum is σ = 891960108137280. Its totient is φ = 69666616177152.

The previous prime is 261315031065071. The next prime is 261315031065139. The reversal of 261315031065120 is 21560130513162.

261315031065120 is a `hidden beast` number, since 2 + 6 + 1 + 31 + 5 + 0 + 3 + 106 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×261315031065120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16873890 + ... + 28414049.

It is an arithmetic number, because the mean of its divisors is an integer number (6194167417620).

Almost surely, 2^{261315031065120} is an apocalyptic number.

261315031065120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261315031065120 is an abundant number, since it is smaller than the sum of its proper divisors (630645077072160).

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

261315031065120 is a wasteful number, since it uses less digits than its factorization.

261315031065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45291967 (or 45291956 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 261315031065120 its reverse (21560130513162), we get a palindrome (282875161578282).

The spelling of 261315031065120 in words is "two hundred sixty-one trillion, three hundred fifteen billion, thirty-one million, sixty-five thousand, one hundred twenty".