825606541 has 2 divisors, whose sum is σ = 825606542. Its totient is φ = 825606540.

The previous prime is 825606521. The next prime is 825606557. The reversal of 825606541 is 145606528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593166025 + 232440516 = 24355^2 + 15246^2 .

It is a cyclic number.

It is not a de Polignac number, because 825606541 - 2¹⁵ = 825573773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825606541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825606511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412803270 + 412803271.

It is an arithmetic number, because the mean of its divisors is an integer number (412803271).

Almost surely, 2^825606541 is an apocalyptic number.

It is an amenable number.

825606541 is a deficient number, since it is larger than the sum of its proper divisors (1).

825606541 is an equidigital number, since it uses as much as digits as its factorization.

825606541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 825606541 is about 28733.3698162955. The cubic root of 825606541 is about 938.1185170220.

The spelling of 825606541 in words is "eight hundred twenty-five million, six hundred six thousand, five hundred forty-one".