1005552265305 has 64 divisors (see below), whose sum is σ = 1908130659840. Its totient is φ = 442429446144.

The previous prime is 1005552265297. The next prime is 1005552265313. The reversal of 1005552265305 is 5035622555001.

It is an interprime number because it is at equal distance from previous prime (1005552265297) and next prime (1005552265313).

It is not a de Polignac number, because 1005552265305 - 2³ = 1005552265297 is a prime.

It is a super-2 number, since 2×1005552265305² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444397 + ... + 1486133.

It is an arithmetic number, because the mean of its divisors is an integer number (29814541560).

Almost surely, 2^{1005552265305} is an apocalyptic number.

1005552265305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005552265305 is a deficient number, since it is larger than the sum of its proper divisors (902578394535).

1005552265305 is a wasteful number, since it uses less digits than its factorization.

1005552265305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042098.

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 1005552265305 in words is "one trillion, five billion, five hundred fifty-two million, two hundred sixty-five thousand, three hundred five".