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252005320435231 = 111724234583121357
BaseRepresentation
bin111001010011001010001111…
…100110110010011000011111
31020001021110210001222021202001
4321103022033212302120133
5231012323344012411411
62251545351311143131
7104036532523351666
oct7123121746623037
91201243701867661
10252005320435231
1173329946690a30
122432039bb14aa7
13aa7cccc5a913c
1446331a0551ddd
151e20383d2bdc1
hexe5328f9b261f

252005320435231 has 32 divisors (see below), whose sum is σ = 291272434818048. Its totient is φ = 215481732963840.

The previous prime is 252005320435229. The next prime is 252005320435291. The reversal of 252005320435231 is 132534023500252.

It is a cyclic number.

It is not a de Polignac number, because 252005320435231 - 21 = 252005320435229 is a prime.

It is a super-2 number, since 2×2520053204352312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252005320435291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076501205 + ... + 2076622561.

It is an arithmetic number, because the mean of its divisors is an integer number (9102263588064).

Almost surely, 2252005320435231 is an apocalyptic number.

252005320435231 is a deficient number, since it is larger than the sum of its proper divisors (39267114382817).

252005320435231 is a wasteful number, since it uses less digits than its factorization.

252005320435231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128391.

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 252005320435231 its reverse (132534023500252), we get a palindrome (384539343935483).

The spelling of 252005320435231 in words is "two hundred fifty-two trillion, five billion, three hundred twenty million, four hundred thirty-five thousand, two hundred thirty-one".

Divisors: 1 11 17 187 2423 4583 26653 41191 50413 77911 121357 453101 857021 1334927 2063069 11104609 22693759 122150699 188778353 294048011 556179131 2076561883 3234528121 4998816187 6117970441 9455045227 54986978057 104005497497 1347622034413 14823842378543 22909574585021 252005320435231