10501013827673 has 2 divisors, whose sum is σ = 10501013827674. Its totient is φ = 10501013827672.

The previous prime is 10501013827609. The next prime is 10501013827723. The reversal of 10501013827673 is 37672831010501.

10501013827673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8853171783184 + 1647842044489 = 2975428^2 + 1283683^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501013827673 - 2⁶ = 10501013827609 is a prime.

It is a super-2 number, since 2×10501013827673² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10501013821673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250506913836 + 5250506913837.

It is an arithmetic number, because the mean of its divisors is an integer number (5250506913837).

Almost surely, 2^{10501013827673} is an apocalyptic number.

It is an amenable number.

10501013827673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501013827673 is an equidigital number, since it uses as much as digits as its factorization.

10501013827673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 10501013827673 in words is "ten trillion, five hundred one billion, thirteen million, eight hundred twenty-seven thousand, six hundred seventy-three".