5257008289 has 16 divisors (see below), whose sum is σ = 5693506000. Its totient is φ = 4825184256.

The previous prime is 5257008223. The next prime is 5257008299. The reversal of 5257008289 is 9828007525.

It can be written as a sum of positive squares in 8 ways, for example, as 70560000 + 5186448289 = 8400^2 + 72017^2 .

It is a cyclic number.

It is not a de Polignac number, because 5257008289 - 2⁷ = 5257008161 is a prime.

It is a super-2 number, since 2×5257008289² = 55272272301229415042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5257008299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854217 + ... + 1857049.

It is an arithmetic number, because the mean of its divisors is an integer number (355844125).

Almost surely, 2^5257008289 is an apocalyptic number.

It is an amenable number.

5257008289 is a deficient number, since it is larger than the sum of its proper divisors (436497711).

5257008289 is a wasteful number, since it uses less digits than its factorization.

5257008289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604.

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 5257008289 is about 72505.2293907136. The cubic root of 5257008289 is about 1738.7863436305.

The spelling of 5257008289 in words is "five billion, two hundred fifty-seven million, eight thousand, two hundred eighty-nine".