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523402204325 = 527111331674683
BaseRepresentation
bin1111001110111010011…
…00111101010010100101
31212000222210120212102212
413213131030331102211
532033411431014300
61040240405413205
752546252221320
oct7473514752245
91760883525385
10523402204325
11191a78998a30
128553240a205
133a483640960
141b4932cb7b7
15d9353de935
hex79dd33d4a5

523402204325 has 96 divisors (see below), whose sum is σ = 899521093632. Its totient is φ = 291462624000.

The previous prime is 523402204321. The next prime is 523402204357.

523402204325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523402204325 - 22 = 523402204321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 523402204291 and 523402204300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523402204321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438434 + ... + 1113116.

It is an arithmetic number, because the mean of its divisors is an integer number (9370011392).

Almost surely, 2523402204325 is an apocalyptic number.

523402204325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523402204325 is a deficient number, since it is larger than the sum of its proper divisors (376118889307).

523402204325 is a wasteful number, since it uses less digits than its factorization.

523402204325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674755 (or 674750 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 523402 and 204325, that added together give a palindrome (727727).

The spelling of 523402204325 in words is "five hundred twenty-three billion, four hundred two million, two hundred four thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 25 31 35 55 65 77 91 143 155 175 217 275 325 341 385 403 455 715 775 1001 1085 1705 1925 2015 2275 2387 2821 3575 4433 5005 5425 8525 10075 11935 14105 22165 25025 31031 59675 70525 110825 155155 674683 775775 3373415 4722781 7421513 8770879 16867075 20915173 23613905 37107565 43854395 51950591 61396153 96479669 104575865 118069525 146406211 185537825 219271975 230066903 259752955 271897249 306980765 482398345 522879325 675357683 732031055 1150334515 1298764775 1359486245 1534903825 1610468321 1903280743 2411991725 2990869739 3376788415 3660155275 5751672575 6797431225 8052341605 9516403715 14954348695 16883942075 20936088173 40261708025 47582018575 74771743475 104680440865 523402204325