538009742529 has 48 divisors (see below), whose sum is σ = 901087268224. Its totient is φ = 302960736000.

The previous prime is 538009742507. The next prime is 538009742533. The reversal of 538009742529 is 925247900835.

538009742529 is a `hidden beast` number, since 5 + 380 + 0 + 9 + 7 + 4 + 252 + 9 = 666.

It is not a de Polignac number, because 538009742529 - 2⁸ = 538009742273 is a prime.

It is a super-2 number, since 2×538009742529² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538009742549) 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, 5335479 + ... + 5435379.

Almost surely, 2^538009742529 is an apocalyptic number.

It is an amenable number.

538009742529 is a deficient number, since it is larger than the sum of its proper divisors (363077525695).

538009742529 is a wasteful number, since it uses less digits than its factorization.

538009742529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101158 (or 101155 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 538009742529 in words is "five hundred thirty-eight billion, nine million, seven hundred forty-two thousand, five hundred twenty-nine".