10072504072253 has 12 divisors (see below), whose sum is σ = 11806437246912. Its totient is φ = 8567669761560.

The previous prime is 10072504072181. The next prime is 10072504072259. The reversal of 10072504072253 is 35227040527001.

It is not a de Polignac number, because 10072504072253 - 2¹⁴ = 10072504055869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072504072259) 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, 784578725 + ... + 784591562.

It is an arithmetic number, because the mean of its divisors is an integer number (983869770576).

Almost surely, 2^{10072504072253} is an apocalyptic number.

It is an amenable number.

10072504072253 is a deficient number, since it is larger than the sum of its proper divisors (1733933174659).

10072504072253 is a wasteful number, since it uses less digits than its factorization.

10072504072253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569170432 (or 1569170425 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

Adding to 10072504072253 its reverse (35227040527001), we get a palindrome (45299544599254).

The spelling of 10072504072253 in words is "ten trillion, seventy-two billion, five hundred four million, seventy-two thousand, two hundred fifty-three".