2557827825 has 48 divisors (see below), whose sum is σ = 4989014016. Its totient is φ = 1131566400.

The previous prime is 2557827761. The next prime is 2557827827. The reversal of 2557827825 is 5287287552.

It is a happy number.

It is not a de Polignac number, because 2557827825 - 2⁶ = 2557827761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557827827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62307 + ... + 94856.

It is an arithmetic number, because the mean of its divisors is an integer number (103937792).

Almost surely, 2^2557827825 is an apocalyptic number.

2557827825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2557827825 is a deficient number, since it is larger than the sum of its proper divisors (2431186191).

2557827825 is a wasteful number, since it uses less digits than its factorization.

2557827825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157214 (or 157209 counting only the distinct ones).

The product of its digits is 3136000, while the sum is 51.

The square root of 2557827825 is about 50574.9723183315. The cubic root of 2557827825 is about 1367.5937346277.

The spelling of 2557827825 in words is "two billion, five hundred fifty-seven million, eight hundred twenty-seven thousand, eight hundred twenty-five".