825125513 has 2 divisors, whose sum is σ = 825125514. Its totient is φ = 825125512.

The previous prime is 825125479. The next prime is 825125527. The reversal of 825125513 is 315521528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480354889 + 344770624 = 21917^2 + 18568^2 .

It is a cyclic number.

It is not a de Polignac number, because 825125513 - 2⁶ = 825125449 is a prime.

It is a super-2 number, since 2×825125513² = 1361664224407026338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 825125513.

It is not a weakly prime, because it can be changed into another prime (825125563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412562756 + 412562757.

It is an arithmetic number, because the mean of its divisors is an integer number (412562757).

Almost surely, 2^825125513 is an apocalyptic number.

It is an amenable number.

825125513 is a deficient number, since it is larger than the sum of its proper divisors (1).

825125513 is an equidigital number, since it uses as much as digits as its factorization.

825125513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12000, while the sum is 32.

The square root of 825125513 is about 28724.9980504786. The cubic root of 825125513 is about 937.9362877880.

The spelling of 825125513 in words is "eight hundred twenty-five million, one hundred twenty-five thousand, five hundred thirteen".