5257126644 has 192 divisors, whose sum is σ = 16365619200. Its totient is φ = 1272153600.

The previous prime is 5257126639. The next prime is 5257126649. The reversal of 5257126644 is 4466217525.

It is an interprime number because it is at equal distance from previous prime (5257126639) and next prime (5257126649).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5257126596 and 5257126605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257126649) 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 63 ways as a sum of consecutive naturals, for example, 1068462 + ... + 1073370.

It is an arithmetic number, because the mean of its divisors is an integer number (85237600).

Almost surely, 2^5257126644 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 5257126644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182809600).

5257126644 is an abundant number, since it is smaller than the sum of its proper divisors (11108492556).

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

5257126644 is a wasteful number, since it uses less digits than its factorization.

5257126644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5012 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 5257126644 is about 72506.0455686283. The cubic root of 5257126644 is about 1738.7993924029.

The spelling of 5257126644 in words is "five billion, two hundred fifty-seven million, one hundred twenty-six thousand, six hundred forty-four".