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537257040961 is a prime number
BaseRepresentation
bin1111101000101110000…
…00111101110001000001
31220100202100220111022111
413310113000331301001
532300300300302321
61050451254535321
753546505333124
oct7642700756101
91810670814274
10537257040961
11197938658843
128815a367541
133b880b55244
141c0093b83bb
15de968eb5e1
hex7d1703dc41

537257040961 has 2 divisors, whose sum is σ = 537257040962. Its totient is φ = 537257040960.

The previous prime is 537257040949. The next prime is 537257041003. The reversal of 537257040961 is 169040752735.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 482269135936 + 54987905025 = 694456^2 + 234495^2 .

It is a cyclic number.

It is not a de Polignac number, because 537257040961 - 219 = 537256516673 is a prime.

It is not a weakly prime, because it can be changed into another prime (537257040941) 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, 268628520480 + 268628520481.

It is an arithmetic number, because the mean of its divisors is an integer number (268628520481).

Almost surely, 2537257040961 is an apocalyptic number.

It is an amenable number.

537257040961 is a deficient number, since it is larger than the sum of its proper divisors (1).

537257040961 is an equidigital number, since it uses as much as digits as its factorization.

537257040961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 537257040961 in words is "five hundred thirty-seven billion, two hundred fifty-seven million, forty thousand, nine hundred sixty-one".