27518701646513 has 32 divisors (see below), whose sum is σ = 35237214667008. Its totient is φ = 20863059148800.

The previous prime is 27518701646489. The next prime is 27518701646567. The reversal of 27518701646513 is 31564610781572.

It is not a de Polignac number, because 27518701646513 - 2¹⁴ = 27518701630129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27518701646213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135741881 + ... + 135944457.

It is an arithmetic number, because the mean of its divisors is an integer number (1101162958344).

Almost surely, 2^{27518701646513} is an apocalyptic number.

It is an amenable number.

27518701646513 is a deficient number, since it is larger than the sum of its proper divisors (7718513020495).

27518701646513 is a wasteful number, since it uses less digits than its factorization.

27518701646513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250313.

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 27518701646513 in words is "twenty-seven trillion, five hundred eighteen billion, seven hundred one million, six hundred forty-six thousand, five hundred thirteen".