Search a number
-
+
51378437910389 is a prime number
BaseRepresentation
bin10111010111010011110011…
…00010100110111101110101
320201220201201200021102021012
423223221321202212331311
523213241020101113024
6301134532321402005
713551653405350142
oct1353517142467565
9221821650242235
1051378437910389
1115409522849307
12591959aa99305
132288c73130b35
14c98a302a53c9
155e170ed4250e
hex2eba798a6f75

51378437910389 has 2 divisors, whose sum is σ = 51378437910390. Its totient is φ = 51378437910388.

The previous prime is 51378437910341. The next prime is 51378437910391. The reversal of 51378437910389 is 98301973487315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50702474401489 + 675963508900 = 7120567^2 + 822170^2 .

It is a cyclic number.

It is not a de Polignac number, because 51378437910389 - 220 = 51378436861813 is a prime.

It is a super-2 number, since 2×513784379103892 (a number of 28 digits) contains 22 as substring.

Together with 51378437910391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51378437910689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25689218955194 + 25689218955195.

It is an arithmetic number, because the mean of its divisors is an integer number (25689218955195).

Almost surely, 251378437910389 is an apocalyptic number.

It is an amenable number.

51378437910389 is a deficient number, since it is larger than the sum of its proper divisors (1).

51378437910389 is an equidigital number, since it uses as much as digits as its factorization.

51378437910389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 68.

The spelling of 51378437910389 in words is "fifty-one trillion, three hundred seventy-eight billion, four hundred thirty-seven million, nine hundred ten thousand, three hundred eighty-nine".