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5695313625 = 325329174569
BaseRepresentation
bin1010100110111011…
…11001011011011001
3112200220201220112200
411103131321123121
543131000014000
62341050200413
7261064236621
oct52335713331
915626656480
105695313625
112462946471
12112b423109
136c9c19b81
143c0579881
15235000500
hex1537796d9

5695313625 has 48 divisors (see below), whose sum is σ = 10620838800. Its totient is φ = 2932742400.

The previous prime is 5695313563. The next prime is 5695313653. The reversal of 5695313625 is 5263135965.

5695313625 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 3 + 13 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1714208409 + 3981105216 = 41403^2 + 63096^2 .

It is not a de Polignac number, because 5695313625 - 28 = 5695313369 is a prime.

It is a super-2 number, since 2×56953136252 = 64873194574221281250, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54660 + ... + 119909.

It is an arithmetic number, because the mean of its divisors is an integer number (221267475).

It is the magic constant of a 2250 × 2250 magic square.

Almost surely, 25695313625 is an apocalyptic number.

It is an amenable number.

5695313625 is a deficient number, since it is larger than the sum of its proper divisors (4925525175).

5695313625 is a wasteful number, since it uses less digits than its factorization.

5695313625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174619 (or 174606 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The square root of 5695313625 is about 75467.3016941775. The cubic root of 5695313625 is about 1785.8263010495.

The spelling of 5695313625 in words is "five billion, six hundred ninety-five million, three hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 174569 523707 872845 1571121 2618535 4364225 5062501 7855605 13092675 15187503 21821125 25312505 39278025 45562509 65463375 75937515 126562525 196390125 227812545 379687575 632812625 1139062725 1898437875 5695313625