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5117724625 = 531317613037
BaseRepresentation
bin1001100010000101…
…00100011111010001
3111012122220100101111
410301002210133101
540440114142000
62203454333321
7240551640646
oct46102443721
914178810344
105117724625
112196905292
12ba9aba241
13637369c30
14367987dcd
151ee45ccba
hex1310a47d1

5117724625 has 64 divisors (see below), whose sum is σ = 7404651072. Its totient is φ = 3497472000.

The previous prime is 5117724617. The next prime is 5117724629. The reversal of 5117724625 is 5264277115.

It can be written as a sum of positive squares in 32 ways, for example, as 5115253441 + 2471184 = 71521^2 + 1572^2 .

It is not a de Polignac number, because 5117724625 - 23 = 5117724617 is a prime.

It is a super-2 number, since 2×51177246252 = 52382210674662781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5117724629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1683607 + ... + 1686643.

It is an arithmetic number, because the mean of its divisors is an integer number (115697673).

Almost surely, 25117724625 is an apocalyptic number.

It is an amenable number.

5117724625 is a deficient number, since it is larger than the sum of its proper divisors (2286926447).

5117724625 is a wasteful number, since it uses less digits than its factorization.

5117724625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 5117724625 is about 71538.2738469415. The cubic root of 5117724625 is about 1723.2923940464.

The spelling of 5117724625 in words is "five billion, one hundred seventeen million, seven hundred twenty-four thousand, six hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 221 305 325 425 793 1037 1105 1525 1625 2125 3037 3965 5185 5525 7625 13481 15185 19825 25925 27625 39481 51629 67405 75925 99125 129625 185257 197405 258145 337025 379625 671177 926285 987025 1290725 1685125 2408341 3149369 3355885 4631425 4935125 6453625 12041705 15746845 16779425 23157125 40941797 60208525 78734225 83897125 204708985 301042625 393671125 1023544925 5117724625