1005313504923 has 48 divisors (see below), whose sum is σ = 1787328903360. Its totient is φ = 530244133632.

The previous prime is 1005313504913. The next prime is 1005313504939. The reversal of 1005313504923 is 3294053135001.

1005313504923 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 13 + 504 + 92 + 3 = 666.

It is not a de Polignac number, because 1005313504923 - 2⁸ = 1005313504667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005313504913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22625613 + ... + 22670001.

It is an arithmetic number, because the mean of its divisors is an integer number (37236018820).

Almost surely, 2^{1005313504923} is an apocalyptic number.

1005313504923 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1005313504923 is a deficient number, since it is larger than the sum of its proper divisors (782015398437).

1005313504923 is a wasteful number, since it uses less digits than its factorization.

1005313504923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72068 (or 72065 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 1005313504923 its reverse (3294053135001), we get a palindrome (4299366639924).

The spelling of 1005313504923 in words is "one trillion, five billion, three hundred thirteen million, five hundred four thousand, nine hundred twenty-three".