1005074952 has 192 divisors, whose sum is σ = 3093381120. Its totient is φ = 266499072.

The previous prime is 1005074933. The next prime is 1005074981. The reversal of 1005074952 is 2594705001.

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, 6166023 + ... + 6166185.

It is an arithmetic number, because the mean of its divisors is an integer number (16111360).

Almost surely, 2^1005074952 is an apocalyptic number.

1005074952 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 1005074952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546690560).

1005074952 is an abundant number, since it is smaller than the sum of its proper divisors (2088306168).

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

1005074952 is a wasteful number, since it uses less digits than its factorization.

1005074952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1005074952 is about 31702.9170897569. The cubic root of 1005074952 is about 1001.6887970258.

Adding to 1005074952 its reverse (2594705001), we get a palindrome (3599779953).

The spelling of 1005074952 in words is "one billion, five million, seventy-four thousand, nine hundred fifty-two".