1005300024252 has 24 divisors (see below), whose sum is σ = 2345808331776. Its totient is φ = 335084540208.

The previous prime is 1005300024167. The next prime is 1005300024259. The reversal of 1005300024252 is 2524200035001.

It is a super-2 number, since 2×1005300024252² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005300024259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661148 + ... + 2184035.

It is an arithmetic number, because the mean of its divisors is an integer number (97742013824).

Almost surely, 2^{1005300024252} is an apocalyptic number.

1005300024252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005300024252 is an abundant number, since it is smaller than the sum of its proper divisors (1340508307524).

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

1005300024252 is a wasteful number, since it uses less digits than its factorization.

1005300024252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866977 (or 3866975 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 1005300024252 its reverse (2524200035001), we get a palindrome (3529500059253).

The spelling of 1005300024252 in words is "one trillion, five billion, three hundred million, twenty-four thousand, two hundred fifty-two".