2585753148 has 48 divisors (see below), whose sum is σ = 6672105216. Its totient is φ = 772824960.

The previous prime is 2585753117. The next prime is 2585753161. The reversal of 2585753148 is 8413575852.

It is a super-3 number, since 3×2585753148³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2585753097 and 2585753106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124536 + ... + 143807.

It is an arithmetic number, because the mean of its divisors is an integer number (139002192).

Almost surely, 2^2585753148 is an apocalyptic number.

It is an amenable number.

2585753148 is an abundant number, since it is smaller than the sum of its proper divisors (4086352068).

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

2585753148 is a wasteful number, since it uses less digits than its factorization.

2585753148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268434 (or 268432 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The square root of 2585753148 is about 50850.3013560392. The cubic root of 2585753148 is about 1372.5526755076.

The spelling of 2585753148 in words is "two billion, five hundred eighty-five million, seven hundred fifty-three thousand, one hundred forty-eight".