42561625 has 16 divisors (see below), whose sum is σ = 56244240. Its totient is φ = 32044800.

The previous prime is 42561619. The next prime is 42561643. The reversal of 42561625 is 52616524.

It can be written as a sum of positive squares in 8 ways, for example, as 12880921 + 29680704 = 3589^2 + 5448^2 .

It is not a de Polignac number, because 42561625 - 2⁵ = 42561593 is a prime.

It is a super-2 number, since 2×42561625² = 3622983845281250, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7890 + ... + 12139.

It is an arithmetic number, because the mean of its divisors is an integer number (3515265).

Almost surely, 2^42561625 is an apocalyptic number.

It is an amenable number.

42561625 is a deficient number, since it is larger than the sum of its proper divisors (13682615).

42561625 is a wasteful number, since it uses less digits than its factorization.

42561625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20061 (or 20051 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 42561625 is about 6523.9271148596. The cubic root of 42561625 is about 349.1451929107.

The spelling of 42561625 in words is "forty-two million, five hundred sixty-one thousand, six hundred twenty-five".