825509357 has 2 divisors, whose sum is σ = 825509358. Its totient is φ = 825509356.

The previous prime is 825509309. The next prime is 825509383. The reversal of 825509357 is 753905528.

825509357 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., 687540841 + 137968516 = 26221^2 + 11746^2 .

It is a cyclic number.

It is not a de Polignac number, because 825509357 - 2¹⁶ = 825443821 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825509857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412754678 + 412754679.

It is an arithmetic number, because the mean of its divisors is an integer number (412754679).

Almost surely, 2^825509357 is an apocalyptic number.

It is an amenable number.

825509357 is a deficient number, since it is larger than the sum of its proper divisors (1).

825509357 is an equidigital number, since it uses as much as digits as its factorization.

825509357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 44.

The square root of 825509357 is about 28731.6786317820. The cubic root of 825509357 is about 938.0817062318.

The spelling of 825509357 in words is "eight hundred twenty-five million, five hundred nine thousand, three hundred fifty-seven".