Search a number
-
+
57095334313 is a prime number
BaseRepresentation
bin110101001011001001…
…011010100110101001
312110101001221111111121
4311023021122212221
51413412401144223
642121303055241
74060606222423
oct651311324651
9173331844447
1057095334313
1122239911806
12b095141521
1354cba448b4
142a98bc5813
15174274115d
hexd4b25a9a9

57095334313 has 2 divisors, whose sum is σ = 57095334314. Its totient is φ = 57095334312.

The previous prime is 57095334301. The next prime is 57095334383. The reversal of 57095334313 is 31343359075.

57095334313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54982277289 + 2113057024 = 234483^2 + 45968^2 .

It is a cyclic number.

It is not a de Polignac number, because 57095334313 - 25 = 57095334281 is a prime.

It is a super-4 number, since 4×570953343134 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 57095334313.

It is not a weakly prime, because it can be changed into another prime (57095334383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28547667156 + 28547667157.

It is an arithmetic number, because the mean of its divisors is an integer number (28547667157).

Almost surely, 257095334313 is an apocalyptic number.

It is an amenable number.

57095334313 is a deficient number, since it is larger than the sum of its proper divisors (1).

57095334313 is an equidigital number, since it uses as much as digits as its factorization.

57095334313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 510300, while the sum is 43.

The spelling of 57095334313 in words is "fifty-seven billion, ninety-five million, three hundred thirty-four thousand, three hundred thirteen".