8005313481 has 16 divisors (see below), whose sum is σ = 12329039808. Its totient is φ = 4566310400.

The previous prime is 8005313479. The next prime is 8005313501. The reversal of 8005313481 is 1843135008.

8005313481 = T₁₀₁₅₃ + T₁₀₁₅₄ + ... + T₁₀₃₀₅.

It is a cyclic number.

It is not a de Polignac number, because 8005313481 - 2¹ = 8005313479 is a prime.

It is a super-2 number, since 2×8005313481² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8005313581) 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 15 ways as a sum of consecutive naturals, for example, 7134300 + ... + 7135421.

It is an arithmetic number, because the mean of its divisors is an integer number (770564988).

Almost surely, 2^8005313481 is an apocalyptic number.

It is an amenable number.

8005313481 is a deficient number, since it is larger than the sum of its proper divisors (4323726327).

8005313481 is a wasteful number, since it uses less digits than its factorization.

8005313481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14269752.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8005313481 is about 89472.4174312956. The cubic root of 8005313481 is about 2000.4426920880.

Adding to 8005313481 its reverse (1843135008), we get a palindrome (9848448489).

The spelling of 8005313481 in words is "eight billion, five million, three hundred thirteen thousand, four hundred eighty-one".