1005360130264 has 192 divisors, whose sum is σ = 2365757521920. Its totient is φ = 391875840000.

The previous prime is 1005360130261. The next prime is 1005360130277. The reversal of 1005360130264 is 4620310635001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005360130261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577460434 + ... + 577462174.

It is an arithmetic number, because the mean of its divisors is an integer number (12321653760).

Almost surely, 2^{1005360130264} is an apocalyptic number.

1005360130264 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 1005360130264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182878760960).

1005360130264 is an abundant number, since it is smaller than the sum of its proper divisors (1360397391656).

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

1005360130264 is a wasteful number, since it uses less digits than its factorization.

1005360130264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 1005360130264 its reverse (4620310635001), we get a palindrome (5625670765265).

The spelling of 1005360130264 in words is "one trillion, five billion, three hundred sixty million, one hundred thirty thousand, two hundred sixty-four".