825949541 has 2 divisors, whose sum is σ = 825949542. Its totient is φ = 825949540.

The previous prime is 825949519. The next prime is 825949559. The reversal of 825949541 is 145949528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 798345025 + 27604516 = 28255^2 + 5254^2 .

It is a cyclic number.

It is not a de Polignac number, because 825949541 - 2⁶ = 825949477 is a prime.

It is a super-2 number, since 2×825949541² = 1364385288556221362, 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 (825949511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412974770 + 412974771.

It is an arithmetic number, because the mean of its divisors is an integer number (412974771).

Almost surely, 2^825949541 is an apocalyptic number.

It is an amenable number.

825949541 is a deficient number, since it is larger than the sum of its proper divisors (1).

825949541 is an equidigital number, since it uses as much as digits as its factorization.

825949541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 518400, while the sum is 47.

The square root of 825949541 is about 28739.3378664158. The cubic root of 825949541 is about 938.2484134819.

The spelling of 825949541 in words is "eight hundred twenty-five million, nine hundred forty-nine thousand, five hundred forty-one".