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252445531221 = 32132157654113
BaseRepresentation
bin1110101100011011101…
…1010001110001010101
3220010121100210201021200
43223012323101301111
513114002023444341
6311545531503113
724144556416252
oct3530673216125
9803540721250
10252445531221
1198074a15034
1240b135b7a99
131aa61929ba0
14c30b524429
156877885db6
hex3ac6ed1c55

252445531221 has 12 divisors (see below), whose sum is σ = 392693048748. Its totient is φ = 155351096064.

The previous prime is 252445531213. The next prime is 252445531229. The reversal of 252445531221 is 122135544252.

252445531221 is a `hidden beast` number, since 2 + 52 + 44 + 553 + 12 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (252445531213) and next prime (252445531229).

It can be written as a sum of positive squares in 2 ways, for example, as 62881079121 + 189564452100 = 250761^2 + 435390^2 .

It is not a de Polignac number, because 252445531221 - 23 = 252445531213 is a prime.

It is a super-3 number, since 3×2524455312213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252445531229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078826940 + ... + 1078827173.

It is an arithmetic number, because the mean of its divisors is an integer number (32724420729).

Almost surely, 2252445531221 is an apocalyptic number.

It is an amenable number.

252445531221 is a deficient number, since it is larger than the sum of its proper divisors (140247517527).

252445531221 is a wasteful number, since it uses less digits than its factorization.

252445531221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157654132 (or 2157654129 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 252445531221 in words is "two hundred fifty-two billion, four hundred forty-five million, five hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 2157654113 6472962339 19418887017 28049503469 84148510407 252445531221