2585957901 has 8 divisors (see below), whose sum is σ = 3461361024. Its totient is φ = 1717263360.

The previous prime is 2585957867. The next prime is 2585957909. The reversal of 2585957901 is 1097595852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2585957901 - 2¹⁸ = 2585695757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585957909) 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 7 ways as a sum of consecutive naturals, for example, 1676245 + ... + 1677786.

It is an arithmetic number, because the mean of its divisors is an integer number (432670128).

Almost surely, 2^2585957901 is an apocalyptic number.

It is an amenable number.

2585957901 is a deficient number, since it is larger than the sum of its proper divisors (875403123).

2585957901 is a wasteful number, since it uses less digits than its factorization.

2585957901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354291.

The product of its (nonzero) digits is 1134000, while the sum is 51.

The square root of 2585957901 is about 50852.3146080884. The cubic root of 2585957901 is about 1372.5889031035.

The spelling of 2585957901 in words is "two billion, five hundred eighty-five million, nine hundred fifty-seven thousand, nine hundred one".