54135235232253 has 48 divisors (see below), whose sum is σ = 89404033904640. Its totient is φ = 30921292657152.

The previous prime is 54135235232231. The next prime is 54135235232261. The reversal of 54135235232253 is 35223253253145.

54135235232253 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 52 + 3 + 523 + 22 + 53 = 666.

It is not a de Polignac number, because 54135235232253 - 2¹⁶ = 54135235166717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54135235232199 and 54135235232208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54135235232263) 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, 2764389700 + ... + 2764409282.

It is an arithmetic number, because the mean of its divisors is an integer number (1862584039680).

Almost surely, 2^{54135235232253} is an apocalyptic number.

It is an amenable number.

54135235232253 is a deficient number, since it is larger than the sum of its proper divisors (35268798672387).

54135235232253 is a wasteful number, since it uses less digits than its factorization.

54135235232253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35978 (or 35975 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

Adding to 54135235232253 its reverse (35223253253145), we get a palindrome (89358488485398).

The spelling of 54135235232253 in words is "fifty-four trillion, one hundred thirty-five billion, two hundred thirty-five million, two hundred thirty-two thousand, two hundred fifty-three".