67037072057 has 2 divisors, whose sum is σ = 67037072058. Its totient is φ = 67037072056.

The previous prime is 67037072021. The next prime is 67037072059. The reversal of 67037072057 is 75027073076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44061788281 + 22975283776 = 209909^2 + 151576^2 .

It is a cyclic number.

It is not a de Polignac number, because 67037072057 - 2¹² = 67037067961 is a prime.

It is a super-2 number, since 2×67037072057² (a number of 22 digits) contains 22 as substring.

Together with 67037072059, 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 = 67037071999 and 67037072017.

It is not a weakly prime, because it can be changed into another prime (67037072059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33518536028 + 33518536029.

It is an arithmetic number, because the mean of its divisors is an integer number (33518536029).

Almost surely, 2^67037072057 is an apocalyptic number.

It is an amenable number.

67037072057 is a deficient number, since it is larger than the sum of its proper divisors (1).

67037072057 is an equidigital number, since it uses as much as digits as its factorization.

67037072057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432180, while the sum is 44.

The spelling of 67037072057 in words is "sixty-seven billion, thirty-seven million, seventy-two thousand, fifty-seven".