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520314413025 = 352111095786093
BaseRepresentation
bin1111001001001010010…
…01111101111111100001
31211202000121100211002010
413210211021331333201
532011100442204100
61035010143343133
752406606352321
oct7444511757741
91752017324063
10520314413025
11190733a156a0
1284a102b1aa9
133a0b09cb904
141b27d191281
15d8042a8750
hex792527dfe1

520314413025 has 48 divisors (see below), whose sum is σ = 947067865920. Its totient is φ = 249959174400.

The previous prime is 520314413023. The next prime is 520314413183.

520314413025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 520314413025 - 21 = 520314413023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 520314412983 and 520314413001.

It is not an unprimeable number, because it can be changed into a prime (520314413023) 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 47 ways as a sum of consecutive naturals, for example, 2803122 + ... + 2982971.

It is an arithmetic number, because the mean of its divisors is an integer number (19730580540).

Almost surely, 2520314413025 is an apocalyptic number.

520314413025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

520314413025 is a deficient number, since it is larger than the sum of its proper divisors (426753452895).

520314413025 is a wasteful number, since it uses less digits than its factorization.

520314413025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786226 (or 5786221 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 520314 and 413025, that added together give a palindrome (933339).

The spelling of 520314413025 in words is "five hundred twenty billion, three hundred fourteen million, four hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 109 165 275 327 545 825 1199 1635 2725 3597 5995 8175 17985 29975 89925 5786093 17358279 28930465 63647023 86791395 144652325 190941069 318235115 433956975 630684137 954705345 1591175575 1892052411 3153420685 4773526725 6937525507 9460262055 15767103425 20812576521 34687627535 47301310275 104062882605 173438137675 520314413025