10206577032781 has 2 divisors, whose sum is σ = 10206577032782. Its totient is φ = 10206577032780.

The previous prime is 10206577032671. The next prime is 10206577032917. The reversal of 10206577032781 is 18723077560201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10163917848100 + 42659184681 = 3188090^2 + 206541^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206577032781 - 2¹⁵ = 10206577000013 is a prime.

It is a super-2 number, since 2×10206577032781² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10206577036781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103288516390 + 5103288516391.

It is an arithmetic number, because the mean of its divisors is an integer number (5103288516391).

Almost surely, 2^{10206577032781} is an apocalyptic number.

It is an amenable number.

10206577032781 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206577032781 is an equidigital number, since it uses as much as digits as its factorization.

10206577032781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 10206577032781 in words is "ten trillion, two hundred six billion, five hundred seventy-seven million, thirty-two thousand, seven hundred eighty-one".