5257951488 has 288 divisors, whose sum is σ = 17042054400. Its totient is φ = 1591640064.

The previous prime is 5257951481. The next prime is 5257951499. The reversal of 5257951488 is 8841597525.

5257951488 is a `hidden beast` number, since 52 + 5 + 79 + 514 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5257951488² = 55292107700322828288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5257951481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3406845 + ... + 3408387.

It is an arithmetic number, because the mean of its divisors is an integer number (59173800).

Almost surely, 2^5257951488 is an apocalyptic number.

5257951488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257951488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521027200).

5257951488 is an abundant number, since it is smaller than the sum of its proper divisors (11784102912).

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

5257951488 is a wasteful number, since it uses less digits than its factorization.

5257951488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1594 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 5257951488 is about 72511.7334505251. The cubic root of 5257951488 is about 1738.8903269468.

The spelling of 5257951488 in words is "five billion, two hundred fifty-seven million, nine hundred fifty-one thousand, four hundred eighty-eight".