10001006872951 has 2 divisors, whose sum is σ = 10001006872952. Its totient is φ = 10001006872950.

The previous prime is 10001006872937. The next prime is 10001006873059. The reversal of 10001006872951 is 15927860010001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001006872951 - 2¹³ = 10001006864759 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001006872751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000503436475 + 5000503436476.

It is an arithmetic number, because the mean of its divisors is an integer number (5000503436476).

Almost surely, 2^{10001006872951} is an apocalyptic number.

10001006872951 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001006872951 is an equidigital number, since it uses as much as digits as its factorization.

10001006872951 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 40.

Adding to 10001006872951 its reverse (15927860010001), we get a palindrome (25928866882952).

The spelling of 10001006872951 in words is "ten trillion, one billion, six million, eight hundred seventy-two thousand, nine hundred fifty-one".