1677892680513 has 12 divisors (see below), whose sum is σ = 2769854583808. Its totient is φ = 958795817400.

The previous prime is 1677892680491. The next prime is 1677892680521. The reversal of 1677892680513 is 3150862987761.

1677892680513 is a `hidden beast` number, since 16 + 7 + 7 + 8 + 9 + 26 + 80 + 513 = 666.

It is not a de Polignac number, because 1677892680513 - 2¹³ = 1677892672321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 26633217151 = 1677892680513 / (1 + 6 + 7 + 7 + 8 + 9 + 2 + 6 + 8 + 0 + 5 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1677892680553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13316608513 + ... + 13316608638.

Almost surely, 2^{1677892680513} is an apocalyptic number.

It is an amenable number.

1677892680513 is a deficient number, since it is larger than the sum of its proper divisors (1091961903295).

1677892680513 is a wasteful number, since it uses less digits than its factorization.

1677892680513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633217164 (or 26633217161 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1677892680513 in words is "one trillion, six hundred seventy-seven billion, eight hundred ninety-two million, six hundred eighty thousand, five hundred thirteen".