825297953 has 2 divisors, whose sum is σ = 825297954. Its totient is φ = 825297952.

The previous prime is 825297947. The next prime is 825297989. The reversal of 825297953 is 359792528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 679540624 + 145757329 = 26068^2 + 12073^2 .

It is a cyclic number.

It is not a de Polignac number, because 825297953 - 2¹⁶ = 825232417 is a prime.

It is a super-2 number, since 2×825297953² = 1362233422451980418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825291953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412648976 + 412648977.

It is an arithmetic number, because the mean of its divisors is an integer number (412648977).

Almost surely, 2^825297953 is an apocalyptic number.

It is an amenable number.

825297953 is a deficient number, since it is larger than the sum of its proper divisors (1).

825297953 is an equidigital number, since it uses as much as digits as its factorization.

825297953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1360800, while the sum is 50.

The square root of 825297953 is about 28727.9994604567. Note that the first 3 decimals coincide. The cubic root of 825297953 is about 938.0016218756.

The spelling of 825297953 in words is "eight hundred twenty-five million, two hundred ninety-seven thousand, nine hundred fifty-three".