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252005320435141 = 71319145752065029
BaseRepresentation
bin111001010011001010001111…
…100110110010010111000101
31020001021110210001222021121201
4321103022033212302113011
5231012323344012411031
62251545351311142501
7104036532523351510
oct7123121746622705
91201243701867551
10252005320435141
1173329946690959
122432039bb14a31
13aa7cccc5a90a0
1446331a0551d77
151e20383d2bd61
hexe5328f9b25c5

252005320435141 has 16 divisors (see below), whose sum is σ = 326484625667200. Its totient is φ = 188894676276288.

The previous prime is 252005320435139. The next prime is 252005320435159. The reversal of 252005320435141 is 141534023500252.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 252005320435141 - 21 = 252005320435139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252005320435141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252005320445141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72876030786 + ... + 72876034243.

It is an arithmetic number, because the mean of its divisors is an integer number (20405289104200).

Almost surely, 2252005320435141 is an apocalyptic number.

It is an amenable number.

252005320435141 is a deficient number, since it is larger than the sum of its proper divisors (74479305232059).

252005320435141 is a wasteful number, since it uses less digits than its factorization.

252005320435141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145752065068.

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 252005320435141 its reverse (141534023500252), we get a palindrome (393539343935393).

The spelling of 252005320435141 in words is "two hundred fifty-two trillion, five billion, three hundred twenty million, four hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 7 13 19 91 133 247 1729 145752065029 1020264455203 1894776845377 2769289235551 13263437917639 19385024648857 36000760062163 252005320435141