1002735457305 has 16 divisors (see below), whose sum is σ = 1698751833984. Its totient is φ = 503333876480.

The previous prime is 1002735457223. The next prime is 1002735457313. The reversal of 1002735457305 is 5037545372001.

It is not a de Polignac number, because 1002735457305 - 2¹¹ = 1002735455257 is a prime.

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, 1966147701 + ... + 1966148210.

It is an arithmetic number, because the mean of its divisors is an integer number (106171989624).

Almost surely, 2^{1002735457305} is an apocalyptic number.

1002735457305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002735457305 is a deficient number, since it is larger than the sum of its proper divisors (696016376679).

1002735457305 is a wasteful number, since it uses less digits than its factorization.

1002735457305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932295936.

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 1002735457305 in words is "one trillion, two billion, seven hundred thirty-five million, four hundred fifty-seven thousand, three hundred five".