5257306032 has 160 divisors (see below), whose sum is σ = 15748992000. Its totient is φ = 1493544960.

The previous prime is 5257306013. The next prime is 5257306039. The reversal of 5257306032 is 2306037525.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5257305984 and 5257306002.

It is not an unprimeable number, because it can be changed into a prime (5257306039) 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 31 ways as a sum of consecutive naturals, for example, 2628969 + ... + 2630967.

It is an arithmetic number, because the mean of its divisors is an integer number (98431200).

Almost surely, 2^5257306032 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 5257306032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496000).

5257306032 is an abundant number, since it is smaller than the sum of its proper divisors (10491685968).

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

5257306032 is a wasteful number, since it uses less digits than its factorization.

5257306032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 5257306032 is about 72507.2826135417. The cubic root of 5257306032 is about 1738.8191697590.

The spelling of 5257306032 in words is "five billion, two hundred fifty-seven million, three hundred six thousand, thirty-two".