248629825 has 12 divisors (see below), whose sum is σ = 316634620. Its totient is φ = 193527360.

The previous prime is 248629813. The next prime is 248629841. The reversal of 248629825 is 528926842.

It is a Cunningham number, because it is equal to 15768²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 19501056 + 229128769 = 4416^2 + 15137^2 .

It is not a de Polignac number, because 248629825 - 2¹¹ = 248627777 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133470 + ... + 135319.

Almost surely, 2^248629825 is an apocalyptic number.

248629825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248629825 is a deficient number, since it is larger than the sum of its proper divisors (68004795).

248629825 is a wasteful number, since it uses less digits than its factorization.

248629825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268836 (or 268831 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 248629825 is about 15768.0000317098. Note that the first 4 decimals coincide. The cubic root of 248629825 is about 628.8075411057.

The spelling of 248629825 in words is "two hundred forty-eight million, six hundred twenty-nine thousand, eight hundred twenty-five".