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1063887039601 = 3726124572
BaseRepresentation
bin11110111101101001001…
…10111110110001110001
310202201002010011022010221
433132310212332301301
5114412320040231401
62132424251253041
7136602053425501
oct17366446766161
93681063138127
101063887039601
11380212553381
1215223174a181
137942a116759
14396c7247a01
151ca1a3797a1
hexf7b49bec71

1063887039601 has 27 divisors (see below), whose sum is σ = 1114074392067. Its totient is φ = 1015936007040.

The previous prime is 1063887039521. The next prime is 1063887039629. The reversal of 1063887039601 is 1069307883601.

The square root of 1063887039601 is 1031449.

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

It can be written as a sum of positive squares in 13 ways, for example, as 267652057201 + 796234982400 = 517351^2 + 892320^2 .

It is not a de Polignac number, because 1063887039601 - 231 = 1061739555953 is a prime.

It is a super-2 number, since 2×10638870396012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1063887039641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2327980165 + ... + 2327980621.

It is an arithmetic number, because the mean of its divisors is an integer number (41262014521).

Almost surely, 21063887039601 is an apocalyptic number.

1063887039601 is the 1031449-th square number.

1063887039601 is the 515725-th centered octagonal number.

It is an amenable number.

1063887039601 is a deficient number, since it is larger than the sum of its proper divisors (50187352466).

1063887039601 is an frugal number, since it uses more digits than its factorization.

1063887039601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 1063887039601 in words is "one trillion, sixty-three billion, eight hundred eighty-seven million, thirty-nine thousand, six hundred one".

Divisors: 1 37 61 457 1369 2257 3721 16909 27877 83509 137677 208849 625633 1031449 1700497 5094049 7727413 12739789 38163613 62918389 285914281 471372193 777127129 2327980393 17440771141 28753703773 1063887039601