2034257520961 has 2 divisors, whose sum is σ = 2034257520962. Its totient is φ = 2034257520960.

The previous prime is 2034257520949. The next prime is 2034257520983. The reversal of 2034257520961 is 1690257524302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1495530880561 + 538726640400 = 1222919^2 + 733980^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034257520961 - 2³¹ = 2032110037313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2034257320961) 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, 1017128760480 + 1017128760481.

It is an arithmetic number, because the mean of its divisors is an integer number (1017128760481).

Almost surely, 2^{2034257520961} is an apocalyptic number.

It is an amenable number.

2034257520961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034257520961 is an equidigital number, since it uses as much as digits as its factorization.

2034257520961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 2034257520961 in words is "two trillion, thirty-four billion, two hundred fifty-seven million, five hundred twenty thousand, nine hundred sixty-one".