38873258321753 has 2 divisors, whose sum is σ = 38873258321754. Its totient is φ = 38873258321752.

The previous prime is 38873258321717. The next prime is 38873258321803. The reversal of 38873258321753 is 35712385237883.

38873258321753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35184258183424 + 3689000138329 = 5931632^2 + 1920677^2 .

It is a cyclic number.

It is not a de Polignac number, because 38873258321753 - 2²⁰ = 38873257273177 is a prime.

It is a super-2 number, since 2×38873258321753² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38873258321753.

It is not a weakly prime, because it can be changed into another prime (38873258321353) 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 as a sum of consecutive naturals, namely, 19436629160876 + 19436629160877.

It is an arithmetic number, because the mean of its divisors is an integer number (19436629160877).

Almost surely, 2^{38873258321753} is an apocalyptic number.

It is an amenable number.

38873258321753 is a deficient number, since it is larger than the sum of its proper divisors (1).

38873258321753 is an equidigital number, since it uses as much as digits as its factorization.

38873258321753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 203212800, while the sum is 65.

The spelling of 38873258321753 in words is "thirty-eight trillion, eight hundred seventy-three billion, two hundred fifty-eight million, three hundred twenty-one thousand, seven hundred fifty-three".