10005725450605 has 16 divisors (see below), whose sum is σ = 12066188986800. Its totient is φ = 7965079100928.

The previous prime is 10005725450599. The next prime is 10005725450629. The reversal of 10005725450605 is 50605452750001.

It can be written as a sum of positive squares in 8 ways, for example, as 1689342264009 + 8316383186596 = 1299747^2 + 2883814^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005725450605 - 2³ = 10005725450597 is a prime.

It is a super-2 number, since 2×10005725450605² (a number of 27 digits) contains 22 as substring.

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, 967722 + ... + 4576891.

It is an arithmetic number, because the mean of its divisors is an integer number (754136811675).

Almost surely, 2^{10005725450605} is an apocalyptic number.

It is an amenable number.

10005725450605 is a deficient number, since it is larger than the sum of its proper divisors (2060463536195).

10005725450605 is a wasteful number, since it uses less digits than its factorization.

10005725450605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546400.

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 10005725450605 in words is "ten trillion, five billion, seven hundred twenty-five million, four hundred fifty thousand, six hundred five".