10526913827849 has 2 divisors, whose sum is σ = 10526913827850. Its totient is φ = 10526913827848.

The previous prime is 10526913827783. The next prime is 10526913827887. The reversal of 10526913827849 is 94872831962501.

10526913827849 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., 5452225000000 + 5074688827849 = 2335000^2 + 2252707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10526913827849 is a prime.

It is a super-2 number, since 2×10526913827849² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10526913827149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5263456913924 + 5263456913925.

It is an arithmetic number, because the mean of its divisors is an integer number (5263456913925).

It is a 1-persistent number, because it is pandigital, but 2⋅10526913827849 = 21053827655698 is not.

Almost surely, 2^{10526913827849} is an apocalyptic number.

It is an amenable number.

10526913827849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10526913827849 is an equidigital number, since it uses as much as digits as its factorization.

10526913827849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52254720, while the sum is 65.

The spelling of 10526913827849 in words is "ten trillion, five hundred twenty-six billion, nine hundred thirteen million, eight hundred twenty-seven thousand, eight hundred forty-nine".