1005001263630 has 576 divisors, whose sum is σ = 3546739804608. Its totient is φ = 194921717760.

The previous prime is 1005001263571. The next prime is 1005001263689. The reversal of 1005001263630 is 363621005001.

1005001263630 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 0 + 1 + 26 + 3 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (1005001263571) and next prime (1005001263689).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005001263594 and 1005001263603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41896240 + ... + 41920220.

It is an arithmetic number, because the mean of its divisors is an integer number (6157534383).

Almost surely, 2^{1005001263630} is an apocalyptic number.

1005001263630 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 1005001263630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773369902304).

1005001263630 is an abundant number, since it is smaller than the sum of its proper divisors (2541738540978).

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

1005001263630 is a wasteful number, since it uses less digits than its factorization.

1005001263630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24081 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1005001263630 its reverse (363621005001), we get a palindrome (1368622268631).

The spelling of 1005001263630 in words is "one trillion, five billion, one million, two hundred sixty-three thousand, six hundred thirty".