7585016465 has 16 divisors (see below), whose sum is σ = 10067101968. Its totient is φ = 5449856256.

The previous prime is 7585016423. The next prime is 7585016471. The reversal of 7585016465 is 5646105857.

It is a Cunningham number, because it is equal to 87092²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 31494544 + 7553521921 = 5612^2 + 86911^2 .

It is not a de Polignac number, because 7585016465 - 2⁸ = 7585016209 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 1574522 + ... + 1579331.

It is an arithmetic number, because the mean of its divisors is an integer number (629193873).

Almost surely, 2^7585016465 is an apocalyptic number.

It is an amenable number.

7585016465 is a deficient number, since it is larger than the sum of its proper divisors (2482085503).

7585016465 is a wasteful number, since it uses less digits than its factorization.

7585016465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153908.

The product of its (nonzero) digits is 1008000, while the sum is 47.

The square root of 7585016465 is about 87092.0000057411. Note that the first 5 decimals coincide. The cubic root of 7585016465 is about 1964.8022311088.

The spelling of 7585016465 in words is "seven billion, five hundred eighty-five million, sixteen thousand, four hundred sixty-five".