5257712340 has 288 divisors, whose sum is σ = 16951334400. Its totient is φ = 1317593088.

The previous prime is 5257712249. The next prime is 5257712363. The reversal of 5257712340 is 432177525.

5257712340 is a `hidden beast` number, since 52 + 577 + 1 + 2 + 34 + 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 = 5257712295 and 5257712304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35286586 + ... + 35286734.

It is an arithmetic number, because the mean of its divisors is an integer number (58858800).

Almost surely, 2^5257712340 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 5257712340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475667200).

5257712340 is an abundant number, since it is smaller than the sum of its proper divisors (11693622060).

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

5257712340 is a wasteful number, since it uses less digits than its factorization.

5257712340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5257712340 is about 72510.0844021023. The cubic root of 5257712340 is about 1738.8639631656.

Adding to 5257712340 its reverse (432177525), we get a palindrome (5689889865).

The spelling of 5257712340 in words is "five billion, two hundred fifty-seven million, seven hundred twelve thousand, three hundred forty".