10012573 has 2 divisors, whose sum is σ = 10012574. Its totient is φ = 10012572.

The previous prime is 10012571. The next prime is 10012579. The reversal of 10012573 is 37521001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9467929 + 544644 = 3077^2 + 738^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012573 - 2¹ = 10012571 is a prime.

Together with 10012571, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10012573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012571) by changing a digit.

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 as a sum of consecutive naturals, namely, 5006286 + 5006287.

It is an arithmetic number, because the mean of its divisors is an integer number (5006287).

Almost surely, 2^10012573 is an apocalyptic number.

It is an amenable number.

10012573 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012573 is an equidigital number, since it uses as much as digits as its factorization.

10012573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10012573 is about 3164.2650015446. The cubic root of 10012573 is about 215.5337235459.

Adding to 10012573 its reverse (37521001), we get a palindrome (47533574).

It can be divided in two parts, 10012 and 573, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 10012573 in words is "ten million, twelve thousand, five hundred seventy-three".