Search a number
-
+
537257041261 is a prime number
BaseRepresentation
bin1111101000101110000…
…00111101110101101101
31220100202100220111201121
413310113000331311231
532300300300310021
61050451254540541
753546505334033
oct7642700756555
91810670814647
10537257041261
11197938658a96
128815a367751
133b880b55415
141c0093b8553
15de968eb741
hex7d1703dd6d

537257041261 has 2 divisors, whose sum is σ = 537257041262. Its totient is φ = 537257041260.

The previous prime is 537257041183. The next prime is 537257041267. The reversal of 537257041261 is 162140752735.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345163300036 + 192093741225 = 587506^2 + 438285^2 .

It is a cyclic number.

It is not a de Polignac number, because 537257041261 - 235 = 502897302893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (537257041267) 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, 268628520630 + 268628520631.

It is an arithmetic number, because the mean of its divisors is an integer number (268628520631).

Almost surely, 2537257041261 is an apocalyptic number.

It is an amenable number.

537257041261 is a deficient number, since it is larger than the sum of its proper divisors (1).

537257041261 is an equidigital number, since it uses as much as digits as its factorization.

537257041261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 43.

Adding to 537257041261 its reverse (162140752735), we get a palindrome (699397793996).

The spelling of 537257041261 in words is "five hundred thirty-seven billion, two hundred fifty-seven million, forty-one thousand, two hundred sixty-one".