2558147625 has 144 divisors (see below), whose sum is σ = 5204594304. Its totient is φ = 1198800000.

The previous prime is 2558147617. The next prime is 2558147629. The reversal of 2558147625 is 5267418552.

2558147625 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 14 + 7 + 625 = 666.

It is not a de Polignac number, because 2558147625 - 2³ = 2558147617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2558147629) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16941300 + ... + 16941450.

It is an arithmetic number, because the mean of its divisors is an integer number (36143016).

Almost surely, 2^2558147625 is an apocalyptic number.

2558147625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2558147625 is an abundant number, since it is smaller than the sum of its proper divisors (2646446679).

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

2558147625 is a wasteful number, since it uses less digits than its factorization.

2558147625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 207 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 2558147625 is about 50578.1338623718. The cubic root of 2558147625 is about 1367.6507280716.

The spelling of 2558147625 in words is "two billion, five hundred fifty-eight million, one hundred forty-seven thousand, six hundred twenty-five".