1005325650 has 216 divisors, whose sum is σ = 3175511040. Its totient is φ = 227344320.

The previous prime is 1005325649. The next prime is 1005325667. The reversal of 1005325650 is 565235001.

1005325650 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 2 + 5 + 650 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2800171 + ... + 2800529.

It is an arithmetic number, because the mean of its divisors is an integer number (14701440).

Almost surely, 2^1005325650 is an apocalyptic number.

1005325650 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 1005325650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

1005325650 is an abundant number, since it is smaller than the sum of its proper divisors (2170185390).

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

1005325650 is a wasteful number, since it uses less digits than its factorization.

1005325650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1005325650 is about 31706.8707065204. The cubic root of 1005325650 is about 1001.7720745635.

The spelling of 1005325650 in words is "one billion, five million, three hundred twenty-five thousand, six hundred fifty".