2657114625 has 96 divisors (see below), whose sum is σ = 5019356160. Its totient is φ = 1246080000.

The previous prime is 2657114617. The next prime is 2657114683. The reversal of 2657114625 is 5264117562.

It is not a de Polignac number, because 2657114625 - 2³ = 2657114617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405681 + ... + 1407569.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^2657114625 is an apocalyptic number.

2657114625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2657114625 is a deficient number, since it is larger than the sum of its proper divisors (2362241535).

2657114625 is a wasteful number, since it uses less digits than its factorization.

2657114625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1939 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 2657114625 is about 51547.2077323302. The cubic root of 2657114625 is about 1385.0648138331.

The spelling of 2657114625 in words is "two billion, six hundred fifty-seven million, one hundred fourteen thousand, six hundred twenty-five".