5131413504 has 336 divisors, whose sum is σ = 17616886560. Its totient is φ = 1463132160.

The previous prime is 5131413499. The next prime is 5131413523. The reversal of 5131413504 is 4053141315.

It is a happy number.

5131413504 is a `hidden beast` number, since 5 + 13 + 141 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450699 + ... + 10451189.

It is an arithmetic number, because the mean of its divisors is an integer number (52431210).

Almost surely, 2^5131413504 is an apocalyptic number.

5131413504 is a gapful number since it is divisible by the number (54) 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 5131413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808443280).

5131413504 is an abundant number, since it is smaller than the sum of its proper divisors (12485473056).

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

5131413504 is an frugal number, since it uses more digits than its factorization.

5131413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5131413504 is about 71633.8851661698. The cubic root of 5131413504 is about 1724.8275124317.

Adding to 5131413504 its reverse (4053141315), we get a palindrome (9184554819).

The spelling of 5131413504 in words is "five billion, one hundred thirty-one million, four hundred thirteen thousand, five hundred four".