1024735738753 has 2 divisors, whose sum is σ = 1024735738754. Its totient is φ = 1024735738752.

The previous prime is 1024735738721. The next prime is 1024735738771. The reversal of 1024735738753 is 3578375374201.

1024735738753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984079872064 + 40655866689 = 992008^2 + 201633^2 .

It is an emirp because it is prime and its reverse (3578375374201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1024735738753 - 2⁵ = 1024735738721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1024735738694 and 1024735738703.

It is not a weakly prime, because it can be changed into another prime (1024735735753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512367869376 + 512367869377.

It is an arithmetic number, because the mean of its divisors is an integer number (512367869377).

Almost surely, 2^{1024735738753} is an apocalyptic number.

It is an amenable number.

1024735738753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024735738753 is an equidigital number, since it uses as much as digits as its factorization.

1024735738753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 1024735738753 in words is "one trillion, twenty-four billion, seven hundred thirty-five million, seven hundred thirty-eight thousand, seven hundred fifty-three".