10002073625 has 8 divisors (see below), whose sum is σ = 12482588040. Its totient is φ = 8001658800.

The previous prime is 10002073591. The next prime is 10002073661. The reversal of 10002073625 is 52637020001.

It can be written as a sum of positive squares in 4 ways, for example, as 1131447769 + 8870625856 = 33637^2 + 94184^2 .

It is not a de Polignac number, because 10002073625 - 2¹⁰ = 10002072601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002073594 and 10002073603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40008170 + ... + 40008419.

It is an arithmetic number, because the mean of its divisors is an integer number (1560323505).

Almost surely, 2^10002073625 is an apocalyptic number.

It is an amenable number.

10002073625 is a deficient number, since it is larger than the sum of its proper divisors (2480514415).

10002073625 is an frugal number, since it uses more digits than its factorization.

10002073625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80016604 (or 80016594 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

Adding to 10002073625 its reverse (52637020001), we get a palindrome (62639093626).

The spelling of 10002073625 in words is "ten billion, two million, seventy-three thousand, six hundred twenty-five".