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5221334331225 = 3252731372320361
BaseRepresentation
bin100101111111010111111…
…0001110010111101011001
3200111011011202201010111100
41023332233301302331121
51141021243042044400
615034351535222013
71046141350351425
oct113765761627531
920434152633440
105221334331225
1117333a0123561
12703b1a377909
132bb4a635656c
141409dd049b85
1590c43b34100
hex4bfafc72f59

5221334331225 has 72 divisors (see below), whose sum is σ = 9549301307832. Its totient is φ = 2726515814400.

The previous prime is 5221334331173. The next prime is 5221334331259.

5221334331225 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 334 + 3 + 312 + 2 + 5 = 666.

5221334331225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 747652479561 + 4473681851664 = 864669^2 + 2115108^2 .

It is not a de Polignac number, because 5221334331225 - 27 = 5221334331097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5221334331225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1090045 + ... + 3410405.

It is an arithmetic number, because the mean of its divisors is an integer number (132629184831).

Almost surely, 25221334331225 is an apocalyptic number.

It is an amenable number.

5221334331225 is a deficient number, since it is larger than the sum of its proper divisors (4327966976607).

5221334331225 is a wasteful number, since it uses less digits than its factorization.

5221334331225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320587 (or 2320579 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 5221334331225 in words is "five trillion, two hundred twenty-one billion, three hundred thirty-four million, three hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 137 219 225 365 411 657 685 1095 1233 1825 2055 3285 3425 5475 6165 10001 10275 16425 30003 30825 50005 90009 150015 250025 450045 750075 2250225 2320361 6961083 11601805 20883249 34805415 58009025 104416245 169386353 174027075 317889457 508159059 522081225 846931765 953668371 1524477177 1589447285 2540795295 2861005113 4234658825 4768341855 7622385885 7947236425 12703976475 14305025565 23205930361 23841709275 38111929425 69617791083 71525127825 116029651805 208853373249 348088955415 580148259025 1044266866245 1740444777075 5221334331225