Search a number
-
+
53607993121 is a prime number
BaseRepresentation
bin110001111011010010…
…010000111100100001
312010101000220012201201
4301323102100330201
51334242121234441
640343245201201
73605312265064
oct617322207441
9163330805651
1053607993121
112080a350751
12a481260201
1350943bb0b7
1428479a08db
1515db4d4c31
hexc7b490f21

53607993121 has 2 divisors, whose sum is σ = 53607993122. Its totient is φ = 53607993120.

The previous prime is 53607993119. The next prime is 53607993169. The reversal of 53607993121 is 12139970635.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52251102225 + 1356890896 = 228585^2 + 36836^2 .

It is a cyclic number.

It is not a de Polignac number, because 53607993121 - 21 = 53607993119 is a prime.

It is a super-2 number, since 2×536079931212 (a number of 22 digits) contains 22 as substring.

Together with 53607993119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (53607903121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26803996560 + 26803996561.

It is an arithmetic number, because the mean of its divisors is an integer number (26803996561).

Almost surely, 253607993121 is an apocalyptic number.

It is an amenable number.

53607993121 is a deficient number, since it is larger than the sum of its proper divisors (1).

53607993121 is an equidigital number, since it uses as much as digits as its factorization.

53607993121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 53607993121 in words is "fifty-three billion, six hundred seven million, nine hundred ninety-three thousand, one hundred twenty-one".