2561625505 has 16 divisors (see below), whose sum is σ = 3247286400. Its totient is φ = 1934513280.

The previous prime is 2561625463. The next prime is 2561625509. The reversal of 2561625505 is 5055261652.

2561625505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2561625505 - 2⁷ = 2561625377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2561625509) 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, 21285 + ... + 74674.

It is an arithmetic number, because the mean of its divisors is an integer number (202955400).

Almost surely, 2^2561625505 is an apocalyptic number.

It is an amenable number.

2561625505 is a deficient number, since it is larger than the sum of its proper divisors (685660895).

2561625505 is a wasteful number, since it uses less digits than its factorization.

2561625505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96264.

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 2561625505 is about 50612.5034452950. The cubic root of 2561625505 is about 1368.2702350861.

The spelling of 2561625505 in words is "two billion, five hundred sixty-one million, six hundred twenty-five thousand, five hundred five".