6517742625 has 128 divisors (see below), whose sum is σ = 13036308480. Its totient is φ = 3200716800.

The previous prime is 6517742617. The next prime is 6517742687. The reversal of 6517742625 is 5262477156.

6517742625 is a `hidden beast` number, since 6 + 5 + 17 + 7 + 4 + 2 + 625 = 666.

It is not a de Polignac number, because 6517742625 - 2³ = 6517742617 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2695417 + ... + 2697833.

It is an arithmetic number, because the mean of its divisors is an integer number (101846160).

Almost surely, 2^6517742625 is an apocalyptic number.

It is an amenable number.

6517742625 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6517742625 is a wasteful number, since it uses less digits than its factorization.

6517742625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2489 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 6517742625 is about 80732.5375855361. The cubic root of 6517742625 is about 1867.9521009908.

The spelling of 6517742625 in words is "six billion, five hundred seventeen million, seven hundred forty-two thousand, six hundred twenty-five".