10002583724051 has 2 divisors, whose sum is σ = 10002583724052. Its totient is φ = 10002583724050.

The previous prime is 10002583724033. The next prime is 10002583724099. The reversal of 10002583724051 is 15042738520001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002583724051 - 2³⁰ = 10001509982227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002583723996 and 10002583724014.

It is not a weakly prime, because it can be changed into another prime (10002586724051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001291862025 + 5001291862026.

It is an arithmetic number, because the mean of its divisors is an integer number (5001291862026).

Almost surely, 2^{10002583724051} is an apocalyptic number.

10002583724051 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002583724051 is an equidigital number, since it uses as much as digits as its factorization.

10002583724051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 10002583724051 in words is "ten trillion, two billion, five hundred eighty-three million, seven hundred twenty-four thousand, fifty-one".