10040013252305 has 16 divisors (see below), whose sum is σ = 12256115705424. Its totient is φ = 7894438348800.

The previous prime is 10040013252257. The next prime is 10040013252323. The reversal of 10040013252305 is 50325231004001.

It is a happy number.

10040013252305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 207373676689 + 9832639575616 = 455383^2 + 3135704^2 .

It is not a de Polignac number, because 10040013252305 - 2⁴⁰ = 8940501624529 is a prime.

It is a super-2 number, since 2×10040013252305² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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, 72489992 + ... + 72628361.

It is an arithmetic number, because the mean of its divisors is an integer number (766007231589).

Almost surely, 2^{10040013252305} is an apocalyptic number.

It is an amenable number.

10040013252305 is a deficient number, since it is larger than the sum of its proper divisors (2216102453119).

10040013252305 is a wasteful number, since it uses less digits than its factorization.

10040013252305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145118596.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 10040013252305 its reverse (50325231004001), we get a palindrome (60365244256306).

The spelling of 10040013252305 in words is "ten trillion, forty billion, thirteen million, two hundred fifty-two thousand, three hundred five".