5257385408 has 112 divisors (see below), whose sum is σ = 12026188800. Its totient is φ = 2257812480.

The previous prime is 5257385407. The next prime is 5257385423. The reversal of 5257385408 is 8045837525.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257385407) 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, 956813 + ... + 962291.

Almost surely, 2^5257385408 is an apocalyptic number.

5257385408 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 5257385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013094400).

5257385408 is an abundant number, since it is smaller than the sum of its proper divisors (6768803392).

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

5257385408 is a wasteful number, since it uses less digits than its factorization.

5257385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The square root of 5257385408 is about 72507.8299771825. The cubic root of 5257385408 is about 1738.8279207438.

The spelling of 5257385408 in words is "five billion, two hundred fifty-seven million, three hundred eighty-five thousand, four hundred eight".