825120853 has 2 divisors, whose sum is σ = 825120854. Its totient is φ = 825120852.

The previous prime is 825120799. The next prime is 825120889. The reversal of 825120853 is 358021528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 815273809 + 9847044 = 28553^2 + 3138^2 .

It is a cyclic number.

It is not a de Polignac number, because 825120853 - 2²⁵ = 791566421 is a prime.

It is a super-3 number, since 3×825120853³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825120253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412560426 + 412560427.

It is an arithmetic number, because the mean of its divisors is an integer number (412560427).

Almost surely, 2^825120853 is an apocalyptic number.

It is an amenable number.

825120853 is a deficient number, since it is larger than the sum of its proper divisors (1).

825120853 is an equidigital number, since it uses as much as digits as its factorization.

825120853 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 825120853 is about 28724.9169363464. The cubic root of 825120853 is about 937.9345220803.

The spelling of 825120853 in words is "eight hundred twenty-five million, one hundred twenty thousand, eight hundred fifty-three".