1005225120 has 384 divisors, whose sum is σ = 3750727680. Its totient is φ = 250905600.

The previous prime is 1005225119. The next prime is 1005225121. The reversal of 1005225120 is 215225001.

1005225120 is a `hidden beast` number, since 100 + 52 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1005225119) and next prime (1005225121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1005225093 and 1005225102.

It is not an unprimeable number, because it can be changed into a prime (1005225121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6657045 + ... + 6657195.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2^1005225120 is an apocalyptic number.

1005225120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875363840).

1005225120 is an abundant number, since it is smaller than the sum of its proper divisors (2745502560).

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

1005225120 is a wasteful number, since it uses less digits than its factorization.

1005225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1005225120 is about 31705.2853638001. The cubic root of 1005225120 is about 1001.7386818999.

The spelling of 1005225120 in words is "one billion, five million, two hundred twenty-five thousand, one hundred twenty".