2557135125 has 48 divisors (see below), whose sum is σ = 4626638640. Its totient is φ = 1358784000.

The previous prime is 2557135103. The next prime is 2557135151. The reversal of 2557135125 is 5215317552.

It can be written as a sum of positive squares in 8 ways, for example, as 1451838609 + 1105296516 = 38103^2 + 33246^2 .

It is not a de Polignac number, because 2557135125 - 2⁸ = 2557134869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2557135125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312081 + ... + 320169.

It is an arithmetic number, because the mean of its divisors is an integer number (96388305).

Almost surely, 2^2557135125 is an apocalyptic number.

2557135125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2557135125 is a deficient number, since it is larger than the sum of its proper divisors (2069503515).

2557135125 is a wasteful number, since it uses less digits than its factorization.

2557135125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8378 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 2557135125 is about 50568.1236056866. The cubic root of 2557135125 is about 1367.4702681846.

The spelling of 2557135125 in words is "two billion, five hundred fifty-seven million, one hundred thirty-five thousand, one hundred twenty-five".