54135151520325 has 48 divisors (see below), whose sum is σ = 91418845605120. Its totient is φ = 28254360171520.

The previous prime is 54135151520321. The next prime is 54135151520327. The reversal of 54135151520325 is 52302515153145.

54135151520325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54135151520325 - 2² = 54135151520321 is a prime.

It is a super-3 number, since 3×54135151520325³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54135151520321) 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 47 ways as a sum of consecutive naturals, for example, 28321441 + ... + 30172409.

It is an arithmetic number, because the mean of its divisors is an integer number (1904559283440).

Almost surely, 2^{54135151520325} is an apocalyptic number.

It is an amenable number.

54135151520325 is a deficient number, since it is larger than the sum of its proper divisors (37283694084795).

54135151520325 is a wasteful number, since it uses less digits than its factorization.

54135151520325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859326 (or 1859321 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 54135151520325 in words is "fifty-four trillion, one hundred thirty-five billion, one hundred fifty-one million, five hundred twenty thousand, three hundred twenty-five".