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520214412025 = 527112411121333
BaseRepresentation
bin1111001000111110011…
…00011111101011111001
31211201202122012020111101
413210133030133223321
532010344342141100
61034552212131401
752404253354240
oct7443714375371
91751678166441
10520214412025
11190692523440
12849a2906b61
133a096087819
141b26db9d957
15d7ea60386a
hex791f31faf9

520214412025 has 48 divisors (see below), whose sum is σ = 807575776128. Its totient is φ = 322943616000.

The previous prime is 520214412023. The next prime is 520214412049.

It is a happy number.

520214412025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 520214412025 - 21 = 520214412023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 520214411984 and 520214412002.

It is not an unprimeable number, because it can be changed into a prime (520214412023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96742 + ... + 1024591.

It is an arithmetic number, because the mean of its divisors is an integer number (16824495336).

Almost surely, 2520214412025 is an apocalyptic number.

520214412025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

520214412025 is a deficient number, since it is larger than the sum of its proper divisors (287361364103).

520214412025 is a wasteful number, since it uses less digits than its factorization.

520214412025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121602 (or 1121597 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 520214 and 412025, that added together give a palindrome (932239).

The spelling of 520214412025 in words is "five hundred twenty billion, two hundred fourteen million, four hundred twelve thousand, twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 241 275 385 1205 1687 1925 2651 6025 8435 13255 18557 42175 66275 92785 463925 1121333 5606665 7849331 12334663 28033325 39246655 61673315 86342641 196233275 270241253 308366575 431713205 1351206265 1891688771 2158566025 2972653783 6756031325 9458443855 14863268915 20808576481 47292219275 74316344575 104042882405 520214412025