825331007 has 2 divisors, whose sum is σ = 825331008. Its totient is φ = 825331006.

The previous prime is 825330997. The next prime is 825331019. The reversal of 825331007 is 700133528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825331007 - 2¹² = 825326911 is a prime.

It is a super-2 number, since 2×825331007² = 1362342542231268098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825331027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412665503 + 412665504.

It is an arithmetic number, because the mean of its divisors is an integer number (412665504).

Almost surely, 2^825331007 is an apocalyptic number.

825331007 is a deficient number, since it is larger than the sum of its proper divisors (1).

825331007 is an equidigital number, since it uses as much as digits as its factorization.

825331007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 825331007 is about 28728.5747471050. The cubic root of 825331007 is about 938.0141443396.

The spelling of 825331007 in words is "eight hundred twenty-five million, three hundred thirty-one thousand, seven".