1001685016827 has 12 divisors (see below), whose sum is σ = 1578412753944. Its totient is φ = 607081828320.

The previous prime is 1001685016811. The next prime is 1001685016837. The reversal of 1001685016827 is 7286105861001.

1001685016827 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 68 + 501 + 6 + 82 + 7 = 666.

1001685016827 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001685016827 - 2⁴ = 1001685016811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001685016837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5059015138 + ... + 5059015335.

It is an arithmetic number, because the mean of its divisors is an integer number (131534396162).

Almost surely, 2^{1001685016827} is an apocalyptic number.

1001685016827 is a deficient number, since it is larger than the sum of its proper divisors (576727737117).

1001685016827 is a wasteful number, since it uses less digits than its factorization.

1001685016827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118030490 (or 10118030487 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1001685016827 in words is "one trillion, one billion, six hundred eighty-five million, sixteen thousand, eight hundred twenty-seven".