2611657125 has 288 divisors, whose sum is σ = 6158954880. Its totient is φ = 1052352000.

The previous prime is 2611657121. The next prime is 2611657183. The reversal of 2611657125 is 5217561162.

2611657125 is a `hidden beast` number, since 2 + 61 + 1 + 6 + 571 + 25 = 666.

It is not a de Polignac number, because 2611657125 - 2² = 2611657121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2611657125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611657121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35776089 + ... + 35776161.

It is an arithmetic number, because the mean of its divisors is an integer number (21385260).

Almost surely, 2^2611657125 is an apocalyptic number.

2611657125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2611657125 is an abundant number, since it is smaller than the sum of its proper divisors (3547297755).

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

2611657125 is a wasteful number, since it uses less digits than its factorization.

2611657125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 2611657125 is about 51104.3748127301. The cubic root of 2611657125 is about 1377.1208482594.

The spelling of 2611657125 in words is "two billion, six hundred eleven million, six hundred fifty-seven thousand, one hundred twenty-five".