73738164257 has 2 divisors, whose sum is σ = 73738164258. Its totient is φ = 73738164256.

The previous prime is 73738164179. The next prime is 73738164259. The reversal of 73738164257 is 75246183737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62002992016 + 11735172241 = 249004^2 + 108329^2 .

It is an emirp because it is prime and its reverse (75246183737) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73738164257 - 2²⁴ = 73721387041 is a prime.

Together with 73738164259, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 73738164199 and 73738164208.

It is not a weakly prime, because it can be changed into another prime (73738164259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36869082128 + 36869082129.

It is an arithmetic number, because the mean of its divisors is an integer number (36869082129).

Almost surely, 2^73738164257 is an apocalyptic number.

It is an amenable number.

73738164257 is a deficient number, since it is larger than the sum of its proper divisors (1).

73738164257 is an equidigital number, since it uses as much as digits as its factorization.

73738164257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5927040, while the sum is 53.

The spelling of 73738164257 in words is "seventy-three billion, seven hundred thirty-eight million, one hundred sixty-four thousand, two hundred fifty-seven".