67587673121 has 2 divisors, whose sum is σ = 67587673122. Its totient is φ = 67587673120.

The previous prime is 67587673061. The next prime is 67587673123. The reversal of 67587673121 is 12137678576.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55479091600 + 12108581521 = 235540^2 + 110039^2 .

It is a cyclic number.

It is not a de Polignac number, because 67587673121 - 2¹⁸ = 67587410977 is a prime.

It is a super-2 number, since 2×67587673121² (a number of 22 digits) contains 22 as substring.

Together with 67587673123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67587673123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33793836560 + 33793836561.

It is an arithmetic number, because the mean of its divisors is an integer number (33793836561).

Almost surely, 2^67587673121 is an apocalyptic number.

It is an amenable number.

67587673121 is a deficient number, since it is larger than the sum of its proper divisors (1).

67587673121 is an equidigital number, since it uses as much as digits as its factorization.

67587673121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2963520, while the sum is 53.

The spelling of 67587673121 in words is "sixty-seven billion, five hundred eighty-seven million, six hundred seventy-three thousand, one hundred twenty-one".