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523870078325 = 521118110639901
BaseRepresentation
bin1111001111110010001…
…01110000010101110101
31212002012101222022220112
413213321011300111311
532040341220001300
61040355041512405
752563663123416
oct7477105602565
91762171868815
10523870078325
11192199002660
1285643042705
133a529558189
141b4d94bd80d
15d96150de35
hex79f9170575

523870078325 has 48 divisors (see below), whose sum is σ = 713310928512. Its totient is φ = 378496800000.

The previous prime is 523870078307. The next prime is 523870078327.

It is a happy number.

523870078325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523870078325 - 214 = 523870061941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523870078327) 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, 52905875 + ... + 52915775.

It is an arithmetic number, because the mean of its divisors is an integer number (14860644344).

Almost surely, 2523870078325 is an apocalyptic number.

523870078325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523870078325 is a deficient number, since it is larger than the sum of its proper divisors (189440850187).

523870078325 is a wasteful number, since it uses less digits than its factorization.

523870078325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11166 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 523870078325 in words is "five hundred twenty-three billion, eight hundred seventy million, seventy-eight thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 181 275 905 1063 1991 4525 5315 9901 9955 11693 26575 49505 49775 58465 108911 192403 247525 292325 544555 962015 1792081 2116433 2722775 4810075 8960405 10524763 10582165 19712891 44802025 52623815 52910825 98564455 115772393 263119075 492822275 578861965 1904982103 2894309825 9524910515 20954803133 47624552575 104774015665 523870078325