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5088111561 = 32132312592
BaseRepresentation
bin1001011110100011…
…00110101111001001
3111010121011211220100
410233101212233021
540410024032221
62200515520013
7240042143331
oct45721465711
914117154810
105088111561
112181119585
12b9bbb9009
1363119c100
14363a7a0c1
151eba5d926
hex12f466bc9

5088111561 has 81 divisors (see below), whose sum is σ = 8365070727. Its totient is φ = 2978782560.

The previous prime is 5088111559. The next prime is 5088111563. The reversal of 5088111561 is 1651118805.

The square root of 5088111561 is 71331.

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

5088111561 is a `hidden beast` number, since 5 + 0 + 8 + 81 + 11 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (5088111559) and next prime (5088111563).

It can be written as a sum of positive squares in only one way, i.e., 752679225 + 4335432336 = 27435^2 + 65844^2 .

It is not a de Polignac number, because 5088111561 - 21 = 5088111559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5088111563) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86239150 + ... + 86239208.

Almost surely, 25088111561 is an apocalyptic number.

5088111561 is the 71331-st square number.

5088111561 is the 35666-th centered octagonal number.

It is an amenable number.

5088111561 is a deficient number, since it is larger than the sum of its proper divisors (3276959166).

5088111561 is a wasteful number, since it uses less digits than its factorization.

5088111561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The cubic root of 5088111561 is about 1719.9620913990.

Multiplying 5088111561 by its sum of digits (36), we get a square (183172016196 = 4279862).

The spelling of 5088111561 in words is "five billion, eighty-eight million, one hundred eleven thousand, five hundred sixty-one".

Divisors: 1 3 9 13 31 39 59 93 117 169 177 279 403 507 531 767 961 1209 1521 1829 2301 2883 3481 3627 5239 5487 6903 8649 9971 10443 12493 15717 16461 23777 29913 31329 37479 45253 47151 56699 71331 89739 107911 112437 135759 162409 170097 213993 309101 323733 407277 487227 510291 588289 737087 927303 971199 1402843 1461681 1764867 2211261 2781909 3345241 4208529 5294601 6633783 9582131 10035723 12625587 18236959 28746393 30107169 43488133 54710877 86239179 130464399 164132631 391393197 565345729 1696037187 5088111561