5456252241 has 96 divisors (see below), whose sum is σ = 9188150400. Its totient is φ = 3088834560.

The previous prime is 5456252239. The next prime is 5456252261. The reversal of 5456252241 is 1422526545.

5456252241 is a `hidden beast` number, since 5 + 4 + 5 + 625 + 2 + 24 + 1 = 666.

It is not a de Polignac number, because 5456252241 - 2¹ = 5456252239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5456252196 and 5456252205.

It is not an unprimeable number, because it can be changed into a prime (5456252201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23826315 + ... + 23826543.

It is an arithmetic number, because the mean of its divisors is an integer number (95709900).

Almost surely, 2^5456252241 is an apocalyptic number.

It is an amenable number.

5456252241 is a deficient number, since it is larger than the sum of its proper divisors (3731898159).

5456252241 is a wasteful number, since it uses less digits than its factorization.

5456252241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 508 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5456252241 is about 73866.4486827409. The cubic root of 5456252241 is about 1760.4815573852.

Adding to 5456252241 its reverse (1422526545), we get a palindrome (6878778786).

The spelling of 5456252241 in words is "five billion, four hundred fifty-six million, two hundred fifty-two thousand, two hundred forty-one".