54219144123225 has 27 divisors (see below), whose sum is σ = 97112709303519. Its totient is φ = 28916817958800.

The previous prime is 54219144123181. The next prime is 54219144123257. The reversal of 54219144123225 is 52232144191245.

The square root of 54219144123225 is 7363365.

It is a perfect power (a square), and thus also a powerful number.

54219144123225 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 9 + 1 + 4 + 412 + 3 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19518891884361 + 34700252238864 = 4418019^2 + 5890692^2 .

It is not a de Polignac number, because 54219144123225 - 2²¹ = 54219142026073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110205030 + ... + 110695920.

Almost surely, 2^{54219144123225} is an apocalyptic number.

54219144123225 is the 7363365-th square number.

54219144123225 is the 3681683-rd centered octagonal number.

It is an amenable number.

54219144123225 is a deficient number, since it is larger than the sum of its proper divisors (42893565180294).

54219144123225 is an frugal number, since it uses more digits than its factorization.

54219144123225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981798 (or 490899 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 54219144123225 in words is "fifty-four trillion, two hundred nineteen billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred twenty-five".