2736723457253 has 2 divisors, whose sum is σ = 2736723457254. Its totient is φ = 2736723457252.

The previous prime is 2736723457229. The next prime is 2736723457309. The reversal of 2736723457253 is 3527543276372.

2736723457253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2736723457309) can be obtained adding 2736723457253 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2422387185604 + 314336271649 = 1556402^2 + 560657^2 .

It is a cyclic number.

It is not a de Polignac number, because 2736723457253 - 2²⁶ = 2736656348389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2736723457213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1368361728626 + 1368361728627.

It is an arithmetic number, because the mean of its divisors is an integer number (1368361728627).

Almost surely, 2^{2736723457253} is an apocalyptic number.

It is an amenable number.

2736723457253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2736723457253 is an equidigital number, since it uses as much as digits as its factorization.

2736723457253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44452800, while the sum is 56.

The spelling of 2736723457253 in words is "two trillion, seven hundred thirty-six billion, seven hundred twenty-three million, four hundred fifty-seven thousand, two hundred fifty-three".