827299225025 has 192 divisors, whose sum is σ = 1380498309120. Its totient is φ = 477085593600.

The previous prime is 827299225001. The next prime is 827299225043. The reversal of 827299225025 is 520522992728.

It is not a de Polignac number, because 827299225025 - 2¹⁴ = 827299208641 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223773977 + ... + 223777673.

It is an arithmetic number, because the mean of its divisors is an integer number (7190095360).

Almost surely, 2^827299225025 is an apocalyptic number.

It is an amenable number.

827299225025 is a deficient number, since it is larger than the sum of its proper divisors (553199084095).

827299225025 is a wasteful number, since it uses less digits than its factorization.

827299225025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 827299225025 in words is "eight hundred twenty-seven billion, two hundred ninety-nine million, two hundred twenty-five thousand, twenty-five".