1006837558261 has 2 divisors, whose sum is σ = 1006837558262. Its totient is φ = 1006837558260.

The previous prime is 1006837558213. The next prime is 1006837558313. The reversal of 1006837558261 is 1628557386001.

It is an a-pointer prime, because the next prime (1006837558313) can be obtained adding 1006837558261 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 746858924100 + 259978634161 = 864210^2 + 509881^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006837558261 - 2⁹ = 1006837557749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006837558199 and 1006837558208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006837558061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503418779130 + 503418779131.

It is an arithmetic number, because the mean of its divisors is an integer number (503418779131).

Almost surely, 2^{1006837558261} is an apocalyptic number.

It is an amenable number.

1006837558261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006837558261 is an equidigital number, since it uses as much as digits as its factorization.

1006837558261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 1006837558261 in words is "one trillion, six billion, eight hundred thirty-seven million, five hundred fifty-eight thousand, two hundred sixty-one".