38961978824213 has 2 divisors, whose sum is σ = 38961978824214. Its totient is φ = 38961978824212.

The previous prime is 38961978824203. The next prime is 38961978824239. The reversal of 38961978824213 is 31242887916983.

38961978824213 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., 38436118897969 + 525859926244 = 6199687^2 + 725162^2 .

It is a cyclic number.

It is not a de Polignac number, because 38961978824213 - 2⁴² = 34563932313109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38961978824203) 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, 19480989412106 + 19480989412107.

It is an arithmetic number, because the mean of its divisors is an integer number (19480989412107).

Almost surely, 2^{38961978824213} is an apocalyptic number.

It is an amenable number.

38961978824213 is a deficient number, since it is larger than the sum of its proper divisors (1).

38961978824213 is an equidigital number, since it uses as much as digits as its factorization.

38961978824213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 250822656, while the sum is 71.

The spelling of 38961978824213 in words is "thirty-eight trillion, nine hundred sixty-one billion, nine hundred seventy-eight million, eight hundred twenty-four thousand, two hundred thirteen".