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525144323441525 = 521916740559163223
BaseRepresentation
bin111011101100111011011000…
…0110110101100001101110101
32112212101022021211011202001112
41313121312300312230031311
51022312431033300112100
65100515545520404405
7215420265612656024
oct16731666066541565
92485338254152045
10525144323441525
1114236650310a077
124aa945a3476705
1319703b88239b98
1493971999588bb
1540aa32053bb35
hex1dd9db0dac375

525144323441525 has 48 divisors (see below), whose sum is σ = 689577264230400. Its totient is φ = 395608682669760.

The previous prime is 525144323441519. The next prime is 525144323441539.

525144323441525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525144323441525 - 210 = 525144323440501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217261064 + ... + 3217424286.

It is an arithmetic number, because the mean of its divisors is an integer number (14366193004800).

Almost surely, 2525144323441525 is an apocalyptic number.

It is an amenable number.

525144323441525 is a deficient number, since it is larger than the sum of its proper divisors (164432940788875).

525144323441525 is a wasteful number, since it uses less digits than its factorization.

525144323441525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203978 (or 203973 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 50.

The spelling of 525144323441525 in words is "five hundred twenty-five trillion, one hundred forty-four billion, three hundred twenty-three million, four hundred forty-one thousand, five hundred twenty-five".

Divisors: 1 5 19 25 95 167 475 835 3173 4175 15865 40559 79325 163223 202795 770621 816115 1013975 3101237 3853105 4080575 6773353 15506185 19265525 27258241 33866765 77530925 128693707 136291205 169333825 517906579 643468535 681456025 2589532895 3217342675 6620161657 12947664475 33100808285 125783071483 165504041425 628915357415 1105566996719 3144576787075 5527834983595 21005772937661 27639174917975 105028864688305 525144323441525