1024040313 has 80 divisors (see below), whose sum is σ = 1642177152. Its totient is φ = 635040000.

The previous prime is 1024040309. The next prime is 1024040323. The reversal of 1024040313 is 3130404201.

1024040313 is a `hidden beast` number, since 10 + 240 + 403 + 13 = 666.

It is not a de Polignac number, because 1024040313 - 2² = 1024040309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1024040323) 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 79 ways as a sum of consecutive naturals, for example, 10138963 + ... + 10139063.

Almost surely, 2^1024040313 is an apocalyptic number.

It is an amenable number.

1024040313 is a deficient number, since it is larger than the sum of its proper divisors (618136839).

1024040313 is a wasteful number, since it uses less digits than its factorization.

1024040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1024040313 is about 32000.6298844257. The cubic root of 1024040313 is about 1007.9500666166.

Adding to 1024040313 its reverse (3130404201), we get a palindrome (4154444514).

The spelling of 1024040313 in words is "one billion, twenty-four million, forty thousand, three hundred thirteen".