7517985345 has 96 divisors (see below), whose sum is σ = 14451720192. Its totient is φ = 3592221696.

The previous prime is 7517985323. The next prime is 7517985389. The reversal of 7517985345 is 5435897157.

7517985345 is a `hidden beast` number, since 7 + 5 + 17 + 98 + 534 + 5 = 666.

It is not a de Polignac number, because 7517985345 - 2⁵ = 7517985313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7517985291 and 7517985300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3490789 + ... + 3492941.

It is an arithmetic number, because the mean of its divisors is an integer number (150538752).

Almost surely, 2^7517985345 is an apocalyptic number.

It is an amenable number.

7517985345 is a deficient number, since it is larger than the sum of its proper divisors (6933734847).

7517985345 is a wasteful number, since it uses less digits than its factorization.

7517985345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2348 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 7517985345 is about 86706.3166384088. The cubic root of 7517985345 is about 1958.9972436440.

The spelling of 7517985345 in words is "seven billion, five hundred seventeen million, nine hundred eighty-five thousand, three hundred forty-five".