1005365133 has 48 divisors (see below), whose sum is σ = 1513512000. Its totient is φ = 642769920.

The previous prime is 1005365131. The next prime is 1005365143. The reversal of 1005365133 is 3315635001.

1005365133 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 651 + 3 + 3 = 666.

It is not a de Polignac number, because 1005365133 - 2¹ = 1005365131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005365097 and 1005365106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005365131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6747343 + ... + 6747491.

It is an arithmetic number, because the mean of its divisors is an integer number (31531500).

Almost surely, 2^1005365133 is an apocalyptic number.

It is an amenable number.

1005365133 is a deficient number, since it is larger than the sum of its proper divisors (508146867).

1005365133 is a wasteful number, since it uses less digits than its factorization.

1005365133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1005365133 is about 31707.4933257109. The cubic root of 1005365133 is about 1001.7851888710.

The spelling of 1005365133 in words is "one billion, five million, three hundred sixty-five thousand, one hundred thirty-three".