10013408373609 has 27 divisors (see below), whose sum is σ = 15364919997687. Its totient is φ = 6282821640384.

The previous prime is 10013408373569. The next prime is 10013408373629. The reversal of 10013408373609 is 90637380431001.

The square root of 10013408373609 is 3164397.

It is a perfect power (a square), and thus also a powerful number.

10013408373609 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 4 + 0 + 8 + 37 + 3 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7795906173225 + 2217502200384 = 2792115^2 + 1489128^2 .

It is not a de Polignac number, because 10013408373609 - 2³³ = 10004818439017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10013408373629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161353224 + ... + 161415270.

Almost surely, 2^{10013408373609} is an apocalyptic number.

10013408373609 is the 3164397-th square number.

10013408373609 is the 1582199-th centered octagonal number.

It is an amenable number.

10013408373609 is a deficient number, since it is larger than the sum of its proper divisors (5351511624078).

10013408373609 is an frugal number, since it uses more digits than its factorization.

10013408373609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124134 (or 62067 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10013408373609 in words is "ten trillion, thirteen billion, four hundred eight million, three hundred seventy-three thousand, six hundred nine".