1008353325 has 48 divisors (see below), whose sum is σ = 1911056256. Its totient is φ = 459571200.

The previous prime is 1008353279. The next prime is 1008353407. The reversal of 1008353325 is 5233538001.

It is not a de Polignac number, because 1008353325 - 2⁶ = 1008353261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1008353292 and 1008353301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182605 + ... + 188045.

It is an arithmetic number, because the mean of its divisors is an integer number (39813672).

Almost surely, 2^1008353325 is an apocalyptic number.

1008353325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1008353325 is a deficient number, since it is larger than the sum of its proper divisors (902702931).

1008353325 is a wasteful number, since it uses less digits than its factorization.

1008353325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1008353325 is about 31754.5795909818. The cubic root of 1008353325 is about 1002.7767243323.

The spelling of 1008353325 in words is "one billion, eight million, three hundred fifty-three thousand, three hundred twenty-five".