Search a number
-
+
5211251721 = 341326172
BaseRepresentation
bin1001101101001110…
…10110010000001001
3111110011220000110000
410312213112100021
541133040023341
62221035113213
7243065623464
oct46647262011
914404800400
105211251721
112234685605
1210152a2809
13650855400
143761722db
152077848b6
hex1369d6409

5211251721 has 45 divisors (see below), whose sum is σ = 8443280901. Its totient is φ = 3201726528.

The previous prime is 5211251719. The next prime is 5211251761. The reversal of 5211251721 is 1271521125.

The square root of 5211251721 is 72189.

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

5211251721 is a `hidden beast` number, since 521 + 125 + 17 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3713561721 + 1497690000 = 60939^2 + 38700^2 .

It is not a de Polignac number, because 5211251721 - 21 = 5211251719 is a prime.

It is a super-3 number, since 3×52112517213 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (5211251701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8445805 + ... + 8446421.

Almost surely, 25211251721 is an apocalyptic number.

5211251721 is the 72189-th square number.

5211251721 is the 36095-th centered octagonal number.

It is an amenable number.

5211251721 is a deficient number, since it is larger than the sum of its proper divisors (3232029180).

5211251721 is an frugal number, since it uses more digits than its factorization.

5211251721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 633 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The cubic root of 5211251721 is about 1733.7268849433.

Adding to 5211251721 its reverse (1271521125), we get a palindrome (6482772846).

The spelling of 5211251721 in words is "five billion, two hundred eleven million, two hundred fifty-one thousand, seven hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 617 1053 1521 1851 4563 5553 8021 13689 16659 24063 49977 72189 104273 216567 312819 380689 649701 938457 1142067 2815371 3426201 4948957 8446113 10278603 14846871 30835809 44540613 64336441 133621839 193009323 400865517 579027969 1737083907 5211251721