1005415520413 has 8 divisors (see below), whose sum is σ = 1048124007936. Its totient is φ = 963349266000.

The previous prime is 1005415520383. The next prime is 1005415520419. The reversal of 1005415520413 is 3140255145001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005415520413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005415520419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160555081 + ... + 160561342.

It is an arithmetic number, because the mean of its divisors is an integer number (131015500992).

Almost surely, 2^{1005415520413} is an apocalyptic number.

It is an amenable number.

1005415520413 is a deficient number, since it is larger than the sum of its proper divisors (42708487523).

1005415520413 is a wasteful number, since it uses less digits than its factorization.

1005415520413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321116555.

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 1005415520413 in words is "one trillion, five billion, four hundred fifteen million, five hundred twenty thousand, four hundred thirteen".