1005302252232 has 48 divisors (see below), whose sum is σ = 2722743763740. Its totient is φ = 335094576768.

The previous prime is 1005302252231. The next prime is 1005302252233. The reversal of 1005302252232 is 2322522035001.

1005302252232 is a `hidden beast` number, since 100 + 5 + 3 + 0 + 2 + 2 + 522 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1005302252231) and next prime (1005302252233).

It can be written as a sum of positive squares in 2 ways, for example, as 1001708729316 + 3593522916 = 1000854^2 + 59946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005302252196 and 1005302252205.

It is not an unprimeable number, because it can be changed into a prime (1005302252231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5512818 + ... + 5692254.

Almost surely, 2^{1005302252232} is an apocalyptic number.

1005302252232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005302252232 is an abundant number, since it is smaller than the sum of its proper divisors (1717441511508).

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

1005302252232 is a wasteful number, since it uses less digits than its factorization.

1005302252232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257262 (or 257255 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 1005302252232 its reverse (2322522035001), we get a palindrome (3327824287233).

The spelling of 1005302252232 in words is "one trillion, five billion, three hundred two million, two hundred fifty-two thousand, two hundred thirty-two".