1005413121 has 8 divisors (see below), whose sum is σ = 1489500960. Its totient is φ = 670275396.

The previous prime is 1005413119. The next prime is 1005413161. The reversal of 1005413121 is 1213145001.

1005413121 is a `hidden beast` number, since 1 + 0 + 0 + 541 + 3 + 121 = 666.

It is not a de Polignac number, because 1005413121 - 2¹ = 1005413119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005413094 and 1005413103.

It is not an unprimeable number, because it can be changed into a prime (1005413161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18618735 + ... + 18618788.

It is an arithmetic number, because the mean of its divisors is an integer number (186187620).

Almost surely, 2^1005413121 is an apocalyptic number.

It is an amenable number.

1005413121 is a deficient number, since it is larger than the sum of its proper divisors (484087839).

1005413121 is an equidigital number, since it uses as much as digits as its factorization.

1005413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37237532 (or 37237526 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005413121 is about 31708.2500463208. The cubic root of 1005413121 is about 1001.8011276582.

Adding to 1005413121 its reverse (1213145001), we get a palindrome (2218558122).

The spelling of 1005413121 in words is "one billion, five million, four hundred thirteen thousand, one hundred twenty-one".