5137676505 has 160 divisors (see below), whose sum is σ = 10685128608. Its totient is φ = 2339020800.

The previous prime is 5137676501. The next prime is 5137676519. The reversal of 5137676505 is 5056767315.

5137676505 is a `hidden beast` number, since 5 + 1 + 3 + 76 + 76 + 505 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2400608016 + 2737068489 = 48996^2 + 52317^2 .

It is not a de Polignac number, because 5137676505 - 2² = 5137676501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5137676501) 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 159 ways as a sum of consecutive naturals, for example, 5459335 + ... + 5460275.

Almost surely, 2^5137676505 is an apocalyptic number.

It is an amenable number.

5137676505 is an abundant number, since it is smaller than the sum of its proper divisors (5547452103).

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

5137676505 is a wasteful number, since it uses less digits than its factorization.

5137676505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 5137676505 is about 71677.5871873489. The cubic root of 5137676505 is about 1725.5289568758.

The spelling of 5137676505 in words is "five billion, one hundred thirty-seven million, six hundred seventy-six thousand, five hundred five".