1005025350 has 96 divisors (see below), whose sum is σ = 2856888576. Its totient is φ = 229046400.

The previous prime is 1005025331. The next prime is 1005025361. The reversal of 1005025350 is 535205001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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, 415645 + ... + 418055.

It is an arithmetic number, because the mean of its divisors is an integer number (29759256).

Almost surely, 2^1005025350 is an apocalyptic number.

1005025350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005025350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428444288).

1005025350 is an abundant number, since it is smaller than the sum of its proper divisors (1851863226).

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

1005025350 is a wasteful number, since it uses less digits than its factorization.

1005025350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1005025350 is about 31702.1347861623. The cubic root of 1005025350 is about 1001.6723184587.

The spelling of 1005025350 in words is "one billion, five million, twenty-five thousand, three hundred fifty".