2232305405013 has 64 divisors (see below), whose sum is σ = 3100484749824. Its totient is φ = 1427627520000.

The previous prime is 2232305405003. The next prime is 2232305405017. The reversal of 2232305405013 is 3105045032322.

It is not a de Polignac number, because 2232305405013 - 2¹³ = 2232305396821 is a prime.

It is a super-3 number, since 3×2232305405013³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232305405017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297096993 + ... + 1297098713.

It is an arithmetic number, because the mean of its divisors is an integer number (48445074216).

Almost surely, 2^{2232305405013} is an apocalyptic number.

It is an amenable number.

2232305405013 is a deficient number, since it is larger than the sum of its proper divisors (868179344811).

2232305405013 is a wasteful number, since it uses less digits than its factorization.

2232305405013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526.

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 2232305405013 in words is "two trillion, two hundred thirty-two billion, three hundred five million, four hundred five thousand, thirteen".