Search a number
-
+
21357055504537 is a prime number
BaseRepresentation
bin1001101101100100100111…
…01101001111000010011001
32210121201021220210220012121
410312302103231033002121
510244403222202121122
6113231143523141241
74332665513340154
oct466622355170231
983551256726177
1021357055504537
116894527067265
12248b182814821
13bbbc66ab883c
1453b9891c0c9b
1527082cc80bc7
hex136c93b4f099

21357055504537 has 2 divisors, whose sum is σ = 21357055504538. Its totient is φ = 21357055504536.

The previous prime is 21357055504507. The next prime is 21357055504567. The reversal of 21357055504537 is 73540555075312.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (21357055504507) and next prime (21357055504567).

It can be written as a sum of positive squares in only one way, i.e., 13137572927241 + 8219482577296 = 3624579^2 + 2866964^2 .

It is a cyclic number.

It is not a de Polignac number, because 21357055504537 - 243 = 12560962482329 is a prime.

It is a super-2 number, since 2×213570555045372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21357055504507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10678527752268 + 10678527752269.

It is an arithmetic number, because the mean of its divisors is an integer number (10678527752269).

Almost surely, 221357055504537 is an apocalyptic number.

It is an amenable number.

21357055504537 is a deficient number, since it is larger than the sum of its proper divisors (1).

21357055504537 is an equidigital number, since it uses as much as digits as its factorization.

21357055504537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025000, while the sum is 52.

The spelling of 21357055504537 in words is "twenty-one trillion, three hundred fifty-seven billion, fifty-five million, five hundred four thousand, five hundred thirty-seven".