5131256760 has 384 divisors, whose sum is σ = 20027105280. Its totient is φ = 1114020864.

The previous prime is 5131256759. The next prime is 5131256771. The reversal of 5131256760 is 676521315.

5131256760 is a `hidden beast` number, since 5 + 1 + 31 + 2 + 567 + 60 = 666.

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

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, 12924882 + ... + 12925278.

It is an arithmetic number, because the mean of its divisors is an integer number (52153920).

Almost surely, 2^5131256760 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 5131256760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013552640).

5131256760 is an abundant number, since it is smaller than the sum of its proper divisors (14895848520).

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

5131256760 is a wasteful number, since it uses less digits than its factorization.

5131256760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5131256760 is about 71632.7910945818. The cubic root of 5131256760 is about 1724.8099500767.

The spelling of 5131256760 in words is "five billion, one hundred thirty-one million, two hundred fifty-six thousand, seven hundred sixty".