10005552305 has 24 divisors (see below), whose sum is σ = 14448562920. Its totient is φ = 6624360960.

The previous prime is 10005552259. The next prime is 10005552311. The reversal of 10005552305 is 50325550001.

It can be written as a sum of positive squares in 4 ways, for example, as 1070009521 + 8935542784 = 32711^2 + 94528^2 .

It is not a de Polignac number, because 10005552305 - 2¹² = 10005548209 is a prime.

It is a super-2 number, since 2×10005552305² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697016 + ... + 711225.

It is an arithmetic number, because the mean of its divisors is an integer number (602023455).

Almost surely, 2^10005552305 is an apocalyptic number.

It is an amenable number.

10005552305 is a deficient number, since it is larger than the sum of its proper divisors (4443010615).

10005552305 is a wasteful number, since it uses less digits than its factorization.

10005552305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408289 (or 1408282 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The spelling of 10005552305 in words is "ten billion, five million, five hundred fifty-two thousand, three hundred five".