5137305624 has 96 divisors (see below), whose sum is σ = 15262687440. Its totient is φ = 1548115200.

The previous prime is 5137305611. The next prime is 5137305629. The reversal of 5137305624 is 4265037315.

5137305624 is a `hidden beast` number, since 513 + 73 + 0 + 56 + 24 = 666.

It is a Cunningham number, because it is equal to 71675²-1.

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 (5137305629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125434 + ... + 161270.

Almost surely, 2^5137305624 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 5137305624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631343720).

5137305624 is an abundant number, since it is smaller than the sum of its proper divisors (10125381816).

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

5137305624 is a wasteful number, since it uses less digits than its factorization.

5137305624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36041 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5137305624 is about 71674.9999930241. Note that the first 5 decimals coincide. The cubic root of 5137305624 is about 1725.4874347789.

The spelling of 5137305624 in words is "five billion, one hundred thirty-seven million, three hundred five thousand, six hundred twenty-four".