1005136413 has 8 divisors (see below), whose sum is σ = 1376403168. Its totient is φ = 651980304.

The previous prime is 1005136397. The next prime is 1005136417. The reversal of 1005136413 is 3146315001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005136413 - 2⁴ = 1005136397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005136417) 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, 4527531 + ... + 4527752.

It is an arithmetic number, because the mean of its divisors is an integer number (172050396).

Almost surely, 2^1005136413 is an apocalyptic number.

It is an amenable number.

1005136413 is a deficient number, since it is larger than the sum of its proper divisors (371266755).

1005136413 is an equidigital number, since it uses as much as digits as its factorization.

1005136413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055323.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1005136413 is about 31703.8864021432. The cubic root of 1005136413 is about 1001.7092145877.

It can be divided in two parts, 10051 and 36413, that added together give a palindrome (46464).

The spelling of 1005136413 in words is "one billion, five million, one hundred thirty-six thousand, four hundred thirteen".