25953985 has 16 divisors (see below), whose sum is σ = 34117200. Its totient is φ = 18866176.

The previous prime is 25953973. The next prime is 25953989. The reversal of 25953985 is 58935952.

25953985 = 349² + 350² + ... + 493².

It can be written as a sum of positive squares in 8 ways, for example, as 1658944 + 24295041 = 1288^2 + 4929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25953985 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25953989) 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, 2800 + ... + 7729.

It is an arithmetic number, because the mean of its divisors is an integer number (2132325).

Almost surely, 2^25953985 is an apocalyptic number.

It is an amenable number.

25953985 is a deficient number, since it is larger than the sum of its proper divisors (8163215).

25953985 is a wasteful number, since it uses less digits than its factorization.

25953985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10580.

The product of its digits is 486000, while the sum is 46.

The square root of 25953985 is about 5094.5053734391. The cubic root of 25953985 is about 296.0747353595.

The spelling of 25953985 in words is "twenty-five million, nine hundred fifty-three thousand, nine hundred eighty-five".