54145312420113 has 48 divisors (see below), whose sum is σ = 78593328103680. Its totient is φ = 35920364755968.

The previous prime is 54145312420103. The next prime is 54145312420139. The reversal of 54145312420113 is 31102421354145.

54145312420113 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 531 + 2 + 4 + 2 + 0 + 113 = 666.

It is not a de Polignac number, because 54145312420113 - 2⁸ = 54145312419857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54145312420103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9181837381 + ... + 9181843277.

It is an arithmetic number, because the mean of its divisors is an integer number (1637361002160).

Almost surely, 2^{54145312420113} is an apocalyptic number.

It is an amenable number.

54145312420113 is a deficient number, since it is larger than the sum of its proper divisors (24448015683567).

54145312420113 is a wasteful number, since it uses less digits than its factorization.

54145312420113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 54145312420113 its reverse (31102421354145), we get a palindrome (85247733774258).

The spelling of 54145312420113 in words is "fifty-four trillion, one hundred forty-five billion, three hundred twelve million, four hundred twenty thousand, one hundred thirteen".