83687671521513 has 6 divisors (see below), whose sum is σ = 120882192197754. Its totient is φ = 55791781014336.

The previous prime is 83687671521479. The next prime is 83687671521523. The reversal of 83687671521513 is 31512517678638.

83687671521513 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 7 + 67 + 1 + 52 + 1 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49399713851049 + 34287957670464 = 7028493^2 + 5855592^2 .

It is not a de Polignac number, because 83687671521513 - 2¹³ = 83687671513321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83687671521523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4649315084520 + ... + 4649315084537.

It is an arithmetic number, because the mean of its divisors is an integer number (20147032032959).

Almost surely, 2^{83687671521513} is an apocalyptic number.

It is an amenable number.

83687671521513 is a deficient number, since it is larger than the sum of its proper divisors (37194520676241).

83687671521513 is a wasteful number, since it uses less digits than its factorization.

83687671521513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298630169063 (or 9298630169060 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 83687671521513 in words is "eighty-three trillion, six hundred eighty-seven billion, six hundred seventy-one million, five hundred twenty-one thousand, five hundred thirteen".