54516400012225 has 24 divisors (see below), whose sum is σ = 67864508056440. Its totient is φ = 43442993280000.

The previous prime is 54516400012201. The next prime is 54516400012253. The reversal of 54516400012225 is 52221000461545.

It can be written as a sum of positive squares in 12 ways, for example, as 19137886347969 + 35378513664256 = 4374687^2 + 5947984^2 .

It is a de Polignac number, because none of the positive numbers 2^k-54516400012225 is a prime.

It is a super-4 number, since 4×54516400012225⁴ (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272715 + ... + 10942735.

It is an arithmetic number, because the mean of its divisors is an integer number (2827687835685).

Almost surely, 2^{54516400012225} is an apocalyptic number.

It is an amenable number.

54516400012225 is a deficient number, since it is larger than the sum of its proper divisors (13348108044215).

54516400012225 is a wasteful number, since it uses less digits than its factorization.

54516400012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671141 (or 7671136 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 54516400012225 in words is "fifty-four trillion, five hundred sixteen billion, four hundred million, twelve thousand, two hundred twenty-five".