10200772080253 has 4 divisors (see below), whose sum is σ = 10216636423168. Its totient is φ = 10184907737340.

The previous prime is 10200772080221. The next prime is 10200772080287. The reversal of 10200772080253 is 35208027700201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10200772080253 - 2⁵ = 10200772080221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200772000253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7932170493 + ... + 7932171778.

It is an arithmetic number, because the mean of its divisors is an integer number (2554159105792).

Almost surely, 2^{10200772080253} is an apocalyptic number.

It is an amenable number.

10200772080253 is a deficient number, since it is larger than the sum of its proper divisors (15864342915).

10200772080253 is an equidigital number, since it uses as much as digits as its factorization.

10200772080253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864342914.

The product of its (nonzero) digits is 47040, while the sum is 37.

Adding to 10200772080253 its reverse (35208027700201), we get a palindrome (45408799780454).

The spelling of 10200772080253 in words is "ten trillion, two hundred billion, seven hundred seventy-two million, eighty thousand, two hundred fifty-three".