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5187312529 = 72102892
BaseRepresentation
bin1001101010011000…
…00001101110010001
3111101111211210001021
410311030001232101
541110423000104
62214422035441
7242355300100
oct46514015621
914344753037
105187312529
112222114753
121009278b81
136488c2cc9
14372d00037
15205606754
hex135301b91

5187312529 has 9 divisors (see below), whose sum is σ = 6034807227. Its totient is φ = 4445835744.

The previous prime is 5187312517. The next prime is 5187312541. The reversal of 5187312529 is 9252137815.

It is a happy number.

The square root of 5187312529 is 72023.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5187312517) and next prime (5187312541).

It can be written as a sum of positive squares in only one way, i.e., 4620872529 + 566440000 = 67977^2 + 23800^2 .

It is not a de Polignac number, because 5187312529 - 231 = 3039828881 is a prime.

It is a super-3 number, since 3×51873125293 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5187312589) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 499017 + ... + 509305.

Almost surely, 25187312529 is an apocalyptic number.

5187312529 is the 72023-rd square number.

5187312529 is the 36012-nd centered octagonal number.

It is an amenable number.

5187312529 is a deficient number, since it is larger than the sum of its proper divisors (847494698).

5187312529 is an frugal number, since it uses more digits than its factorization.

5187312529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20592 (or 10296 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The cubic root of 5187312529 is about 1731.0680396387.

The spelling of 5187312529 in words is "five billion, one hundred eighty-seven million, three hundred twelve thousand, five hundred twenty-nine".

Divisors: 1 7 49 10289 72023 504161 105863521 741044647 5187312529