406301000601135 has 64 divisors (see below), whose sum is σ = 668778325286400. Its totient is φ = 210481633313280.

The previous prime is 406301000601131. The next prime is 406301000601157. The reversal of 406301000601135 is 531106000103604.

It is not a de Polignac number, because 406301000601135 - 2² = 406301000601131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406301000601131) 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 63 ways as a sum of consecutive naturals, for example, 995878416 + ... + 996286314.

It is an arithmetic number, because the mean of its divisors is an integer number (10449661332600).

Almost surely, 2^{406301000601135} is an apocalyptic number.

406301000601135 is a deficient number, since it is larger than the sum of its proper divisors (262477324685265).

406301000601135 is a wasteful number, since it uses less digits than its factorization.

406301000601135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410968.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 406301000601135 its reverse (531106000103604), we get a palindrome (937407000704739).

The spelling of 406301000601135 in words is "four hundred six trillion, three hundred one billion, six hundred one thousand, one hundred thirty-five".