2561225601 has 16 divisors (see below), whose sum is σ = 3729570048. Its totient is φ = 1550528400.

The previous prime is 2561225599. The next prime is 2561225603. The reversal of 2561225601 is 1065221652.

It is an interprime number because it is at equal distance from previous prime (2561225599) and next prime (2561225603).

It is not a de Polignac number, because 2561225601 - 2¹ = 2561225599 is a prime.

It is a super-2 number, since 2×2561225601² = 13119753158435622402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561225603) 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 15 ways as a sum of consecutive naturals, for example, 12855 + ... + 72716.

It is an arithmetic number, because the mean of its divisors is an integer number (233098128).

Almost surely, 2^2561225601 is an apocalyptic number.

It is an amenable number.

2561225601 is a deficient number, since it is larger than the sum of its proper divisors (1168344447).

2561225601 is a wasteful number, since it uses less digits than its factorization.

2561225601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86492.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2561225601 is about 50608.5526467612. The cubic root of 2561225601 is about 1368.1990296197.

The spelling of 2561225601 in words is "two billion, five hundred sixty-one million, two hundred twenty-five thousand, six hundred one".