7540617563 has 16 divisors (see below), whose sum is σ = 8101490400. Its totient is φ = 6992971776.

The previous prime is 7540617517. The next prime is 7540617587. The reversal of 7540617563 is 3657160457.

7540617563 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 7540617563 - 2²⁰ = 7539568987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7540617503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1619663 + ... + 1624311.

It is an arithmetic number, because the mean of its divisors is an integer number (506343150).

Almost surely, 2^7540617563 is an apocalyptic number.

7540617563 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

7540617563 is a deficient number, since it is larger than the sum of its proper divisors (560872837).

7540617563 is a wasteful number, since it uses less digits than its factorization.

7540617563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046.

The product of its (nonzero) digits is 529200, while the sum is 44.

The square root of 7540617563 is about 86836.7293430608. The cubic root of 7540617563 is about 1960.9610692616.

The spelling of 7540617563 in words is "seven billion, five hundred forty million, six hundred seventeen thousand, five hundred sixty-three".