1005630502324 has 144 divisors (see below), whose sum is σ = 2122764779520. Its totient is φ = 415375853760.

The previous prime is 1005630502319. The next prime is 1005630502343. The reversal of 1005630502324 is 4232050365001.

It is a happy number.

It is a super-2 number, since 2×1005630502324² (a number of 25 digits) contains 22 as substring.

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, 204435537 + ... + 204440455.

It is an arithmetic number, because the mean of its divisors is an integer number (14741422080).

Almost surely, 2^{1005630502324} is an apocalyptic number.

1005630502324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005630502324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061382389760).

1005630502324 is an abundant number, since it is smaller than the sum of its proper divisors (1117134277196).

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

1005630502324 is a wasteful number, since it uses less digits than its factorization.

1005630502324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1005630502324 its reverse (4232050365001), we get a palindrome (5237680867325).

The spelling of 1005630502324 in words is "one trillion, five billion, six hundred thirty million, five hundred two thousand, three hundred twenty-four".