10006031615557 has 2 divisors, whose sum is σ = 10006031615558. Its totient is φ = 10006031615556.

The previous prime is 10006031615551. The next prime is 10006031615563. The reversal of 10006031615557 is 75551613060001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10006031615551) and next prime (10006031615563).

It can be written as a sum of positive squares in only one way, i.e., 10005922809796 + 108805761 = 3163214^2 + 10431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006031615557 - 2²⁷ = 10005897397829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006031615551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003015807778 + 5003015807779.

It is an arithmetic number, because the mean of its divisors is an integer number (5003015807779).

Almost surely, 2^{10006031615557} is an apocalyptic number.

It is an amenable number.

10006031615557 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006031615557 is an equidigital number, since it uses as much as digits as its factorization.

10006031615557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94500, while the sum is 40.

Adding to 10006031615557 its reverse (75551613060001), we get a palindrome (85557644675558).

The spelling of 10006031615557 in words is "ten trillion, six billion, thirty-one million, six hundred fifteen thousand, five hundred fifty-seven".