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528042022225 = 521728321032
BaseRepresentation
bin1111010111100011100…
…00011101010101010001
31212110222011020001001021
413223301300131111101
532122412224202400
61042325033035441
753102242063234
oct7536160352521
91773864201037
10528042022225
11193a39a56883
1286408255b81
133aa4298c933
141b7b35d141b
15db078ea71a
hex7af1c1d551

528042022225 has 81 divisors (see below), whose sum is σ = 710936545233. Its totient is φ = 388980867840.

The previous prime is 528042022217. The next prime is 528042022309. The reversal of 528042022225 is 522220240825.

The square root of 528042022225 is 726665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12351432769 + 515690589456 = 111137^2 + 718116^2 .

It is not a de Polignac number, because 528042022225 - 23 = 528042022217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5126621524 + ... + 5126621626.

Almost surely, 2528042022225 is an apocalyptic number.

528042022225 is the 726665-th square number.

528042022225 is the 363333-rd centered octagonal number.

It is an amenable number.

528042022225 is a deficient number, since it is larger than the sum of its proper divisors (182894523008).

528042022225 is an equidigital number, since it uses as much as digits as its factorization.

528042022225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 528042022225 in words is "five hundred twenty-eight billion, forty-two million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 83 85 103 289 415 425 515 1411 1445 1751 2075 2575 6889 7055 7225 8549 8755 10609 23987 29767 34445 35275 42745 43775 53045 117113 119935 145333 148835 172225 180353 213725 265225 585565 599675 709567 726665 744175 880547 901765 1990921 2470661 2927825 3066001 3547835 3633325 4402735 4508825 9954605 12062639 12353305 14969299 15330005 17739175 22013675 49773025 60313195 61766525 73085401 74846495 76650025 205064863 254478083 301565975 365427005 374232475 1025324315 1242451817 1272390415 1827135025 5126621575 6212259085 6361952075 21121680889 31061295425 105608404445 528042022225