2561053312 has 128 divisors (see below), whose sum is σ = 5527388160. Its totient is φ = 1179036672.

The previous prime is 2561053303. The next prime is 2561053321. The reversal of 2561053312 is 2133501652.

It is an interprime number because it is at equal distance from previous prime (2561053303) and next prime (2561053321).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11484433 + ... + 11484655.

It is an arithmetic number, because the mean of its divisors is an integer number (43182720).

Almost surely, 2^2561053312 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 2561053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

2561053312 is an abundant number, since it is smaller than the sum of its proper divisors (2966334848).

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

2561053312 is a wasteful number, since it uses less digits than its factorization.

2561053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2561053312 is about 50606.8504453695. The cubic root of 2561053312 is about 1368.1683501762.

Adding to 2561053312 its reverse (2133501652), we get a palindrome (4694554964).

The spelling of 2561053312 in words is "two billion, five hundred sixty-one million, fifty-three thousand, three hundred twelve".