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520022025225 = 3252192531131069
BaseRepresentation
bin1111001000100111011…
…10100110010000001001
31211201021020011222102100
413210103232212100021
532010001114301400
61034521140424013
752366426165623
oct7442356462011
91751236158370
10520022025225
111905a397038a
128494a3a8009
133a065267891
141b2523ddc13
15d7d87a0100
hex7913ba6409

520022025225 has 216 divisors, whose sum is σ = 1011375457560. Its totient is φ = 255270113280.

The previous prime is 520022025179. The next prime is 520022025239. The reversal of 520022025225 is 522520220025.

520022025225 is a nontrivial binomial coefficient, being equal to C(1019826, 2).

It can be written as a sum of positive squares in 12 ways, for example, as 248126523129 + 271895502096 = 498123^2 + 521436^2 .

It is not a de Polignac number, because 520022025225 - 218 = 520021763081 is a prime.

It is a super-2 number, since 2×5200220252252 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 486455991 + ... + 486457059.

It is an arithmetic number, because the mean of its divisors is an integer number (4682293785).

Almost surely, 2520022025225 is an apocalyptic number.

520022025225 is the 1019825-th triangular number and also the 509913-rd hexagonal number.

It is an amenable number.

520022025225 is a deficient number, since it is larger than the sum of its proper divisors (491353432335).

520022025225 is a wasteful number, since it uses less digits than its factorization.

520022025225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 520022025225 in words is "five hundred twenty billion, twenty-two million, twenty-five thousand, two hundred twenty-five".