1005141312 has 252 divisors, whose sum is σ = 3478194720. Its totient is φ = 286965504.

The previous prime is 1005141301. The next prime is 1005141323. The reversal of 1005141312 is 2131415001.

It is an interprime number because it is at equal distance from previous prime (1005141301) and next prime (1005141323).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761389 + ... + 762707.

It is an arithmetic number, because the mean of its divisors is an integer number (13802360).

Almost surely, 2^1005141312 is an apocalyptic number.

1005141312 is a gapful number since it is divisible by the number (12) 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 1005141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739097360).

1005141312 is an abundant number, since it is smaller than the sum of its proper divisors (2473053408).

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

1005141312 is an equidigital number, since it uses as much as digits as its factorization.

1005141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005141312 is about 31703.9636638702. The cubic root of 1005141312 is about 1001.7108420171.

Adding to 1005141312 its reverse (2131415001), we get a palindrome (3136556313).

The spelling of 1005141312 in words is "one billion, five million, one hundred forty-one thousand, three hundred twelve".