Search a number
-
+
537257038993 is a prime number
BaseRepresentation
bin1111101000101110000…
…00111101010010010001
31220100202100220101121121
413310113000331102101
532300300300221433
61050451254522241
753546505324313
oct7642700752221
91810670811547
10537257038993
11197938657314
128815a366381
133b880b5438c
141c0093b77b3
15de968eac2d
hex7d1703d491

537257038993 has 2 divisors, whose sum is σ = 537257038994. Its totient is φ = 537257038992.

The previous prime is 537257038991. The next prime is 537257039051. The reversal of 537257038993 is 399830752735.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524164416064 + 13092622929 = 723992^2 + 114423^2 .

It is a cyclic number.

It is not a de Polignac number, because 537257038993 - 21 = 537257038991 is a prime.

Together with 537257038991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (537257038991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268628519496 + 268628519497.

It is an arithmetic number, because the mean of its divisors is an integer number (268628519497).

Almost surely, 2537257038993 is an apocalyptic number.

It is an amenable number.

537257038993 is a deficient number, since it is larger than the sum of its proper divisors (1).

537257038993 is an equidigital number, since it uses as much as digits as its factorization.

537257038993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 537257038993 in words is "five hundred thirty-seven billion, two hundred fifty-seven million, thirty-eight thousand, nine hundred ninety-three".