6872106001 has 2 divisors, whose sum is σ = 6872106002. Its totient is φ = 6872106000.

The previous prime is 6872105983. The next prime is 6872106011. The reversal of 6872106001 is 1006012786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4515974401 + 2356131600 = 67201^2 + 48540^2 .

It is a cyclic number.

It is not a de Polignac number, because 6872106001 - 2⁷ = 6872105873 is a prime.

It is not a weakly prime, because it can be changed into another prime (6872106011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3436053000 + 3436053001.

It is an arithmetic number, because the mean of its divisors is an integer number (3436053001).

Almost surely, 2^6872106001 is an apocalyptic number.

It is an amenable number.

6872106001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6872106001 is an equidigital number, since it uses as much as digits as its factorization.

6872106001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 6872106001 is about 82898.1664513758. The cubic root of 6872106001 is about 1901.2093871019.

Adding to 6872106001 its reverse (1006012786), we get a palindrome (7878118787).

The spelling of 6872106001 in words is "six billion, eight hundred seventy-two million, one hundred six thousand, one".