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252020553151329 = 321031203913320409
BaseRepresentation
bin111001010011011000011011…
…100010111111001101100001
31020001022221002200000102220100
4321103120123202333031201
5231013101043101320304
62252000351021133013
7104040612150326004
oct7123303342771541
91201287080012810
10252020553151329
1173335353100aa6
12243233313ba169
13aa815893c5811
144633c0763353b
151e209762ae439
hexe5361b8bf361

252020553151329 has 24 divisors (see below), whose sum is σ = 364561505942400. Its totient is φ = 167768407494720.

The previous prime is 252020553151313. The next prime is 252020553151333. The reversal of 252020553151329 is 923151355020252.

252020553151329 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 0 + 5 + 5 + 315 + 1 + 329 = 666.

It is not a de Polignac number, because 252020553151329 - 24 = 252020553151313 is a prime.

It is a super-3 number, since 3×2520205531513293 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252020553151309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12259677 + ... + 25580085.

It is an arithmetic number, because the mean of its divisors is an integer number (15190062747600).

Almost surely, 2252020553151329 is an apocalyptic number.

It is an amenable number.

252020553151329 is a deficient number, since it is larger than the sum of its proper divisors (112540952791071).

252020553151329 is a wasteful number, since it uses less digits than its factorization.

252020553151329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13323485 (or 13323482 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 252020553151329 in words is "two hundred fifty-two trillion, twenty billion, five hundred fifty-three million, one hundred fifty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 1031 2039 3093 6117 9279 18351 2102209 6306627 13320409 18919881 39961227 119883681 13733341679 27160313951 41200025037 81480941853 123600075111 244442825559 28002283683481 84006851050443 252020553151329