1005755000 has 40 divisors (see below), whose sum is σ = 2356495680. Its totient is φ = 402300000.

The previous prime is 1005754943. The next prime is 1005755011. The reversal of 1005755000 is 5575001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 95576 + ... + 105575.

It is an arithmetic number, because the mean of its divisors is an integer number (58912392).

Almost surely, 2^1005755000 is an apocalyptic number.

1005755000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005755000 is an abundant number, since it is smaller than the sum of its proper divisors (1350740680).

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

1005755000 is an equidigital number, since it uses as much as digits as its factorization.

1005755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201177 (or 201158 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 1005755000 is about 31713.6405983293. The cubic root of 1005755000 is about 1001.9146650514.

The spelling of 1005755000 in words is "one billion, five million, seven hundred fifty-five thousand".