825300977 has 2 divisors, whose sum is σ = 825300978. Its totient is φ = 825300976.

The previous prime is 825300911. The next prime is 825300979. The reversal of 825300977 is 779003528.

825300977 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., 804516496 + 20784481 = 28364^2 + 4559^2 .

It is a cyclic number.

It is not a de Polignac number, because 825300977 - 2¹⁶ = 825235441 is a prime.

It is a super-2 number, since 2×825300977² = 1362243405274309058, which contains 22 as substring.

Together with 825300979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825300979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412650488 + 412650489.

It is an arithmetic number, because the mean of its divisors is an integer number (412650489).

Almost surely, 2^825300977 is an apocalyptic number.

It is an amenable number.

825300977 is a deficient number, since it is larger than the sum of its proper divisors (1).

825300977 is an equidigital number, since it uses as much as digits as its factorization.

825300977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 825300977 is about 28728.0520919884. The cubic root of 825300977 is about 938.0027675279.

The spelling of 825300977 in words is "eight hundred twenty-five million, three hundred thousand, nine hundred seventy-seven".