1005352515535 has 12 divisors (see below), whose sum is σ = 1223654244984. Its totient is φ = 792954076880.

The previous prime is 1005352515523. The next prime is 1005352515569. The reversal of 1005352515535 is 5355152535001.

It is not a de Polignac number, because 1005352515535 - 2¹⁵ = 1005352482767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19918309 + ... + 19968718.

It is an arithmetic number, because the mean of its divisors is an integer number (101971187082).

Almost surely, 2^{1005352515535} is an apocalyptic number.

1005352515535 is a deficient number, since it is larger than the sum of its proper divisors (218301729449).

1005352515535 is an frugal number, since it uses more digits than its factorization.

1005352515535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39887174 (or 39887103 counting only the distinct ones).

The product of its (nonzero) digits is 281250, while the sum is 40.

The spelling of 1005352515535 in words is "one trillion, five billion, three hundred fifty-two million, five hundred fifteen thousand, five hundred thirty-five".