2561102003 has 16 divisors (see below), whose sum is σ = 2861490240. Its totient is φ = 2279709696.

The previous prime is 2561101999. The next prime is 2561102009. The reversal of 2561102003 is 3002011652.

It is a cyclic number.

It is not a de Polignac number, because 2561102003 - 2² = 2561101999 is a prime.

It is a super-2 number, since 2×2561102003² = 13118486939541224018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000 + ... + 71597.

It is an arithmetic number, because the mean of its divisors is an integer number (178843140).

Almost surely, 2^2561102003 is an apocalyptic number.

2561102003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2561102003 is a deficient number, since it is larger than the sum of its proper divisors (300388237).

2561102003 is a wasteful number, since it uses less digits than its factorization.

2561102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73726.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2561102003 is about 50607.3315143172. The cubic root of 2561102003 is about 1368.1770207055.

Adding to 2561102003 its reverse (3002011652), we get a palindrome (5563113655).

The spelling of 2561102003 in words is "two billion, five hundred sixty-one million, one hundred two thousand, three".