54742135340013 has 24 divisors (see below), whose sum is σ = 80246170367328. Its totient is φ = 33169596900000.

The previous prime is 54742135339867. The next prime is 54742135340023. The reversal of 54742135340013 is 31004353124745.

It is not a de Polignac number, because 54742135340013 - 2⁴⁵ = 19557763251181 is a prime.

It is a super-2 number, since 2×54742135340013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54742135340023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15324838 + ... + 18556263.

It is an arithmetic number, because the mean of its divisors is an integer number (3343590431972).

Almost surely, 2^{54742135340013} is an apocalyptic number.

It is an amenable number.

54742135340013 is a deficient number, since it is larger than the sum of its proper divisors (25504035027315).

54742135340013 is a wasteful number, since it uses less digits than its factorization.

54742135340013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33885577 (or 33885566 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

Adding to 54742135340013 its reverse (31004353124745), we get a palindrome (85746488464758).

The spelling of 54742135340013 in words is "fifty-four trillion, seven hundred forty-two billion, one hundred thirty-five million, three hundred forty thousand, thirteen".