10182120888517 has 2 divisors, whose sum is σ = 10182120888518. Its totient is φ = 10182120888516.

The previous prime is 10182120888491. The next prime is 10182120888553. The reversal of 10182120888517 is 71588802128101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6903435698721 + 3278685189796 = 2627439^2 + 1810714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10182120888517 is a prime.

It is a super-3 number, since 3×10182120888517³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10182120888617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5091060444258 + 5091060444259.

It is an arithmetic number, because the mean of its divisors is an integer number (5091060444259).

Almost surely, 2^{10182120888517} is an apocalyptic number.

It is an amenable number.

10182120888517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10182120888517 is an equidigital number, since it uses as much as digits as its factorization.

10182120888517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 573440, while the sum is 52.

The spelling of 10182120888517 in words is "ten trillion, one hundred eighty-two billion, one hundred twenty million, eight hundred eighty-eight thousand, five hundred seventeen".