825824963177153 has 2 divisors, whose sum is σ = 825824963177154. Its totient is φ = 825824963177152.

The previous prime is 825824963177147. The next prime is 825824963177167. The reversal of 825824963177153 is 351771369428528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 699580705369744 + 126244257807409 = 26449588^2 + 11235847^2 .

It is a cyclic number.

It is not a de Polignac number, because 825824963177153 - 2³² = 825820668209857 is a prime.

It is a super-2 number, since 2×825824963177153² (a number of 31 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825824963177353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412912481588576 + 412912481588577.

It is an arithmetic number, because the mean of its divisors is an integer number (412912481588577).

Almost surely, 2^{825824963177153} is an apocalyptic number.

It is an amenable number.

825824963177153 is a deficient number, since it is larger than the sum of its proper divisors (1).

825824963177153 is an equidigital number, since it uses as much as digits as its factorization.

825824963177153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 609638400, while the sum is 71.

The spelling of 825824963177153 in words is "eight hundred twenty-five trillion, eight hundred twenty-four billion, nine hundred sixty-three million, one hundred seventy-seven thousand, one hundred fifty-three".