5106253131 has 48 divisors (see below), whose sum is σ = 8530441920. Its totient is φ = 2883029760.

The previous prime is 5106253123. The next prime is 5106253151. The reversal of 5106253131 is 1313526015.

5106253131 is a `hidden beast` number, since 5 + 1 + 0 + 625 + 3 + 1 + 31 = 666.

It is not a de Polignac number, because 5106253131 - 2³ = 5106253123 is a prime.

It is a super-2 number, since 2×5106253131² = 52147642075694606322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5106253095 and 5106253104.

It is not an unprimeable number, because it can be changed into a prime (5106253151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164881 + ... + 3166493.

It is an arithmetic number, because the mean of its divisors is an integer number (177717540).

Almost surely, 2^5106253131 is an apocalyptic number.

5106253131 is a deficient number, since it is larger than the sum of its proper divisors (3424188789).

5106253131 is a wasteful number, since it uses less digits than its factorization.

5106253131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5106253131 is about 71458.0515477437. The cubic root of 5106253131 is about 1722.0038313277.

Adding to 5106253131 its reverse (1313526015), we get a palindrome (6419779146).

The spelling of 5106253131 in words is "five billion, one hundred six million, two hundred fifty-three thousand, one hundred thirty-one".