1005135050424 has 64 divisors (see below), whose sum is σ = 2595059712000. Its totient is φ = 324091762560.

The previous prime is 1005135050411. The next prime is 1005135050443. The reversal of 1005135050424 is 4240505315001.

It is a junction number, because it is equal to n+sod(n) for n = 1005135050391 and 1005135050400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364122 + ... + 1967510.

It is an arithmetic number, because the mean of its divisors is an integer number (40547808000).

Almost surely, 2^{1005135050424} is an apocalyptic number.

It is an amenable number.

1005135050424 is an abundant number, since it is smaller than the sum of its proper divisors (1589924661576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005135050424 is a wasteful number, since it uses less digits than its factorization.

1005135050424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605668 (or 605664 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1005135050424 in words is "one trillion, five billion, one hundred thirty-five million, fifty thousand, four hundred twenty-four".