10055825325 has 288 divisors, whose sum is σ = 23418144000. Its totient is φ = 4226826240.

The previous prime is 10055825317. The next prime is 10055825333. The reversal of 10055825325 is 52352855001.

10055825325 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 582 + 53 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (10055825317) and next prime (10055825333).

It is not a de Polignac number, because 10055825325 - 2³ = 10055825317 is a prime.

It is a super-2 number, since 2×10055825325² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055825325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39127597 + ... + 39127853.

It is an arithmetic number, because the mean of its divisors is an integer number (81313000).

Almost surely, 2^10055825325 is an apocalyptic number.

10055825325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10055825325 is an abundant number, since it is smaller than the sum of its proper divisors (13362318675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10055825325 is a wasteful number, since it uses less digits than its factorization.

10055825325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10055825325 in words is "ten billion, fifty-five million, eight hundred twenty-five thousand, three hundred twenty-five".