5257913472 has 768 divisors, whose sum is σ = 19960012800. Its totient is φ = 1343692800.

The previous prime is 5257913471. The next prime is 5257913473. The reversal of 5257913472 is 2743197525.

It is a happy number.

5257913472 is a `hidden beast` number, since 5 + 2 + 579 + 1 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (5257913471) and next prime (5257913473).

It is not an unprimeable number, because it can be changed into a prime (5257913471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128241772 + ... + 128241812.

It is an arithmetic number, because the mean of its divisors is an integer number (25989600).

Almost surely, 2^5257913472 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 5257913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980006400).

5257913472 is an abundant number, since it is smaller than the sum of its proper divisors (14702099328).

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

5257913472 is a wasteful number, since it uses less digits than its factorization.

5257913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5257913472 is about 72511.4713131653. The cubic root of 5257913472 is about 1738.8861360996.

The spelling of 5257913472 in words is "five billion, two hundred fifty-seven million, nine hundred thirteen thousand, four hundred seventy-two".