827457948025 has 24 divisors (see below), whose sum is σ = 1057502813504. Its totient is φ = 641799288000.

The previous prime is 827457947993. The next prime is 827457948041. The reversal of 827457948025 is 520849754728.

It is a happy number.

It is not a de Polignac number, because 827457948025 - 2⁵ = 827457947993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318701 + ... + 1842250.

Almost surely, 2^827457948025 is an apocalyptic number.

It is an amenable number.

827457948025 is a deficient number, since it is larger than the sum of its proper divisors (230044865479).

827457948025 is a wasteful number, since it uses less digits than its factorization.

827457948025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161281 (or 3161276 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 827457948025 in words is "eight hundred twenty-seven billion, four hundred fifty-seven million, nine hundred forty-eight thousand, twenty-five".