1005375132630 has 192 divisors, whose sum is σ = 2880604995840. Its totient is φ = 241253510400.

The previous prime is 1005375132613. The next prime is 1005375132661. The reversal of 1005375132630 is 362315735001.

1005375132630 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 7 + 5 + 13 + 2 + 630 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125495325 + ... + 125503335.

It is an arithmetic number, because the mean of its divisors is an integer number (15003151020).

Almost surely, 2^{1005375132630} is an apocalyptic number.

1005375132630 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 1005375132630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440302497920).

1005375132630 is an abundant number, since it is smaller than the sum of its proper divisors (1875229863210).

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

1005375132630 is a wasteful number, since it uses less digits than its factorization.

1005375132630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 1005375132630 in words is "one trillion, five billion, three hundred seventy-five million, one hundred thirty-two thousand, six hundred thirty".