54613120 has 32 divisors (see below), whose sum is σ = 130561020. Its totient is φ = 21844992.

The previous prime is 54613099. The next prime is 54613133. The reversal of 54613120 is 2131645.

It can be written as a sum of positive squares in 2 ways, for example, as 53114944 + 1498176 = 7288^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×54613120² = 5965185752268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54613091 and 54613100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42027 + ... + 43306.

Almost surely, 2^54613120 is an apocalyptic number.

It is an amenable number.

54613120 is an abundant number, since it is smaller than the sum of its proper divisors (75947900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54613120 is an equidigital number, since it uses as much as digits as its factorization.

54613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85352 (or 85340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 54613120 is about 7390.0690118564. The cubic root of 54613120 is about 379.4014584653.

Adding to 54613120 its reverse (2131645), we get a palindrome (56744765).

The spelling of 54613120 in words is "fifty-four million, six hundred thirteen thousand, one hundred twenty".