823570948513 has 2 divisors, whose sum is σ = 823570948514. Its totient is φ = 823570948512.

The previous prime is 823570948477. The next prime is 823570948523. The reversal of 823570948513 is 315849075328.

823570948513 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., 776243816209 + 47327132304 = 881047^2 + 217548^2 .

It is a cyclic number.

It is not a de Polignac number, because 823570948513 - 2²⁵ = 823537394081 is a prime.

It is a super-2 number, since 2×823570948513² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (823570948523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411785474256 + 411785474257.

It is an arithmetic number, because the mean of its divisors is an integer number (411785474257).

Almost surely, 2^823570948513 is an apocalyptic number.

It is an amenable number.

823570948513 is a deficient number, since it is larger than the sum of its proper divisors (1).

823570948513 is an equidigital number, since it uses as much as digits as its factorization.

823570948513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 823570948513 in words is "eight hundred twenty-three billion, five hundred seventy million, nine hundred forty-eight thousand, five hundred thirteen".