2505605361 has 8 divisors (see below), whose sum is σ = 3818065344. Its totient is φ = 1431774480.

The previous prime is 2505605359. The next prime is 2505605371. The reversal of 2505605361 is 1635065052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2505605361 - 2¹ = 2505605359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505605321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59657250 + ... + 59657291.

It is an arithmetic number, because the mean of its divisors is an integer number (477258168).

Almost surely, 2^2505605361 is an apocalyptic number.

2505605361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505605361 is a deficient number, since it is larger than the sum of its proper divisors (1312459983).

2505605361 is a wasteful number, since it uses less digits than its factorization.

2505605361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119314551.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 2505605361 is about 50056.0222251029. The cubic root of 2505605361 is about 1358.2224038417. Note that the first 3 decimals are identical.

The spelling of 2505605361 in words is "two billion, five hundred five million, six hundred five thousand, three hundred sixty-one".