5137261038 has 288 divisors, whose sum is σ = 14639788800. Its totient is φ = 1288949760.

The previous prime is 5137261037. The next prime is 5137261061. The reversal of 5137261038 is 8301627315.

5137261038 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 2 + 610 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5137260993 and 5137261011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137261037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34478188 + ... + 34478336.

It is an arithmetic number, because the mean of its divisors is an integer number (50832600).

Almost surely, 2^5137261038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137261038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319894400).

5137261038 is an abundant number, since it is smaller than the sum of its proper divisors (9502527762).

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

5137261038 is a wasteful number, since it uses less digits than its factorization.

5137261038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5137261038 is about 71674.6889633991. The cubic root of 5137261038 is about 1725.4824430050.

The spelling of 5137261038 in words is "five billion, one hundred thirty-seven million, two hundred sixty-one thousand, thirty-eight".