5257381140 has 360 divisors, whose sum is σ = 18651590496. Its totient is φ = 1229385600.

The previous prime is 5257381123. The next prime is 5257381141. The reversal of 5257381140 is 411837525.

5257381140 is a `hidden beast` number, since 5 + 2 + 573 + 81 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5257381095 and 5257381104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257381141) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17124867 + ... + 17125173.

Almost surely, 2^5257381140 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 5257381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325795248).

5257381140 is an abundant number, since it is smaller than the sum of its proper divisors (13394209356).

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

5257381140 is a wasteful number, since it uses less digits than its factorization.

5257381140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5257381140 is about 72507.8005458723. The cubic root of 5257381140 is about 1738.8274502108.

The spelling of 5257381140 in words is "five billion, two hundred fifty-seven million, three hundred eighty-one thousand, one hundred forty".