4557519252 has 288 divisors, whose sum is σ = 14137853184. Its totient is φ = 1219276800.

The previous prime is 4557519247. The next prime is 4557519259. The reversal of 4557519252 is 2529157554.

4557519252 is a `hidden beast` number, since 4 + 557 + 5 + 1 + 92 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4557519198 and 4557519207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4557519259) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13523628 + ... + 13523964.

It is an arithmetic number, because the mean of its divisors is an integer number (49089768).

Almost surely, 2^4557519252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4557519252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068926592).

4557519252 is an abundant number, since it is smaller than the sum of its proper divisors (9580333932).

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

4557519252 is a wasteful number, since it uses less digits than its factorization.

4557519252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The square root of 4557519252 is about 67509.4012119794. The cubic root of 4557519252 is about 1657.9681013088.

The spelling of 4557519252 in words is "four billion, five hundred fifty-seven million, five hundred nineteen thousand, two hundred fifty-two".