2085415200961 has 2 divisors, whose sum is σ = 2085415200962. Its totient is φ = 2085415200960.

The previous prime is 2085415200859. The next prime is 2085415200989. The reversal of 2085415200961 is 1690025145802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1677789137025 + 407626063936 = 1295295^2 + 638456^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085415200961 - 2¹⁷ = 2085415069889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2085415206961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042707600480 + 1042707600481.

It is an arithmetic number, because the mean of its divisors is an integer number (1042707600481).

Almost surely, 2^{2085415200961} is an apocalyptic number.

It is an amenable number.

2085415200961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085415200961 is an equidigital number, since it uses as much as digits as its factorization.

2085415200961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 2085415200961 in words is "two trillion, eighty-five billion, four hundred fifteen million, two hundred thousand, nine hundred sixty-one".