2561625 has 80 divisors (see below), whose sum is σ = 5436288. Its totient is φ = 1188000.

The previous prime is 2561593. The next prime is 2561627. The reversal of 2561625 is 5261652.

2561625 is a `hidden beast` number, since 25 + 616 + 25 = 666.

2561625 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 2561625 - 2⁵ = 2561593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2561625 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2561627) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 111364 + ... + 111386.

2^2561625 is an apocalyptic number.

2561625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2561625 is an abundant number, since it is smaller than the sum of its proper divisors (2874663).

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

2561625 is a wasteful number, since it uses less digits than its factorization.

2561625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2561625 is about 1600.5077319401. The cubic root of 2561625 is about 136.8270145172.

Adding to 2561625 its sum of digits (27), we get a palindrome (2561652).

It can be divided in two parts, 256 and 1625, that added together give a palindrome (1881).

The spelling of 2561625 in words is "two million, five hundred sixty-one thousand, six hundred twenty-five".