825258321 has 8 divisors (see below), whose sum is σ = 1222604960. Its totient is φ = 550172196.

The previous prime is 825258241. The next prime is 825258367. The reversal of 825258321 is 123852528.

825258321 is a `hidden beast` number, since 8 + 2 + 52 + 583 + 21 = 666.

It is not a de Polignac number, because 825258321 - 2¹¹ = 825256273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825258121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15282535 + ... + 15282588.

It is an arithmetic number, because the mean of its divisors is an integer number (152825620).

Almost surely, 2^825258321 is an apocalyptic number.

It is an amenable number.

825258321 is a deficient number, since it is larger than the sum of its proper divisors (397346639).

825258321 is a wasteful number, since it uses less digits than its factorization.

825258321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30565132 (or 30565126 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 825258321 is about 28727.3096721569. The cubic root of 825258321 is about 937.9866069043.

The spelling of 825258321 in words is "eight hundred twenty-five million, two hundred fifty-eight thousand, three hundred twenty-one".