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597135880489681 = 131941472413751977
BaseRepresentation
bin1000011111000101111000100…
…0000010100000101011010001
32220022021122002012201222020001
42013301132020002200223101
51111231433240401132211
65514000234135250001
7236530433532144151
oct20761361002405321
92808248065658201
10597135880489681
111632a19a5266325
1256b80b26219901
131c826897265250
14a765760820761
154907d1bbb9ac1
hex21f17880a0ad1

597135880489681 has 64 divisors (see below), whose sum is σ = 708221989278720. Its totient is φ = 498585592995840.

The previous prime is 597135880489679. The next prime is 597135880489697. The reversal of 597135880489681 is 186984088531795.

It is a cyclic number.

It is not a de Polignac number, because 597135880489681 - 21 = 597135880489679 is a prime.

It is a super-2 number, since 2×5971358804896812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 597135880489595 and 597135880489604.

It is not an unprimeable number, because it can be changed into a prime (597135880489381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11488437765 + ... + 11488489741.

It is an arithmetic number, because the mean of its divisors is an integer number (11065968582480).

Almost surely, 2597135880489681 is an apocalyptic number.

It is an amenable number.

597135880489681 is a deficient number, since it is larger than the sum of its proper divisors (111086108789039).

597135880489681 is a wasteful number, since it uses less digits than its factorization.

597135880489681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76234.

The product of its (nonzero) digits is 4180377600, while the sum is 82.

The spelling of 597135880489681 in words is "five hundred ninety-seven trillion, one hundred thirty-five billion, eight hundred eighty million, four hundred eighty-nine thousand, six hundred eighty-one".

Divisors: 1 13 19 41 47 247 533 611 779 893 1927 10127 11609 24137 25051 36613 51977 313781 458603 475969 675701 987563 989617 1134439 2131057 2442919 5961839 12838319 12865021 14747707 18802723 21554341 27703741 31757947 40490083 46415461 46511999 100159679 244435399 280206433 526371079 603400993 604655987 883727981 1254568849 1302075827 1903033901 11488463753 16309395037 23836808131 24739440713 51437322809 58964735903 309878505703 668685196517 766541566739 977309133371 1120329982157 2417554172023 12705018733823 14564289768041 31428204236299 45933529268437 597135880489681