16767501001001 has 2 divisors, whose sum is σ = 16767501001002. Its totient is φ = 16767501001000.

The previous prime is 16767501000979. The next prime is 16767501001003. The reversal of 16767501001001 is 10010010576761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16667818725376 + 99682275625 = 4082624^2 + 315725^2 .

It is a cyclic number.

It is not a de Polignac number, because 16767501001001 - 2¹⁴ = 16767500984617 is a prime.

It is a super-2 number, since 2×16767501001001² (a number of 27 digits) contains 22 as substring.

Together with 16767501001003, 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 (16767501001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8383750500500 + 8383750500501.

It is an arithmetic number, because the mean of its divisors is an integer number (8383750500501).

Almost surely, 2^{16767501001001} is an apocalyptic number.

It is an amenable number.

16767501001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

16767501001001 is an equidigital number, since it uses as much as digits as its factorization.

16767501001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 35.

Adding to 16767501001001 its reverse (10010010576761), we get a palindrome (26777511577762).

The spelling of 16767501001001 in words is "sixteen trillion, seven hundred sixty-seven billion, five hundred one million, one thousand, one".