2561601561512 has 96 divisors (see below), whose sum is σ = 5788209780000. Its totient is φ = 1058435844480.

The previous prime is 2561601561511. The next prime is 2561601561517. The reversal of 2561601561512 is 2151651061652.

2561601561512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2561601561512² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2561601561512.

It is not an unprimeable number, because it can be changed into a prime (2561601561511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7692239 + ... + 8018337.

It is an arithmetic number, because the mean of its divisors is an integer number (60293851875).

Almost surely, 2^{2561601561512} 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 2561601561512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894104890000).

2561601561512 is an abundant number, since it is smaller than the sum of its proper divisors (3226608218488).

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

2561601561512 is a wasteful number, since it uses less digits than its factorization.

2561601561512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326839 (or 326828 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The spelling of 2561601561512 in words is "two trillion, five hundred sixty-one billion, six hundred one million, five hundred sixty-one thousand, five hundred twelve".