5131537920 has 480 divisors, whose sum is σ = 18847981152. Its totient is φ = 1337720832.

The previous prime is 5131537919. The next prime is 5131537927. The reversal of 5131537920 is 297351315.

5131537920 is a `hidden beast` number, since 5 + 1 + 31 + 537 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131537927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45411784 + ... + 45411896.

Almost surely, 2^5131537920 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 5131537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423990576).

5131537920 is an abundant number, since it is smaller than the sum of its proper divisors (13716443232).

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

5131537920 is an equidigital number, since it uses as much as digits as its factorization.

5131537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5131537920 is about 71634.7535767382. The cubic root of 5131537920 is about 1724.8414523468.

The spelling of 5131537920 in words is "five billion, one hundred thirty-one million, five hundred thirty-seven thousand, nine hundred twenty".