1680013000025 has 24 divisors (see below), whose sum is σ = 2103630385824. Its totient is φ = 1330851200000.

The previous prime is 1680012999983. The next prime is 1680013000073. The reversal of 1680013000025 is 5200003100861.

It is not a de Polignac number, because 1680013000025 - 2³⁰ = 1678939258201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1680012999958 and 1680013000003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5860025 + ... + 6140025.

It is an arithmetic number, because the mean of its divisors is an integer number (87651266076).

Almost surely, 2^{1680013000025} is an apocalyptic number.

It is an amenable number.

1680013000025 is a deficient number, since it is larger than the sum of its proper divisors (423617385799).

1680013000025 is a wasteful number, since it uses less digits than its factorization.

1680013000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282361 (or 282356 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 1680013000025 its reverse (5200003100861), we get a palindrome (6880016100886).

The spelling of 1680013000025 in words is "one trillion, six hundred eighty billion, thirteen million, twenty-five", and thus it is an aban number.