527376106561 has 2 divisors, whose sum is σ = 527376106562. Its totient is φ = 527376106560.

The previous prime is 527376106501. The next prime is 527376106603. The reversal of 527376106561 is 165601673725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274608488961 + 252767617600 = 524031^2 + 502760^2 .

It is a cyclic number.

It is not a de Polignac number, because 527376106561 - 2¹¹ = 527376104513 is a prime.

It is not a weakly prime, because it can be changed into another prime (527376106501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263688053280 + 263688053281.

It is an arithmetic number, because the mean of its divisors is an integer number (263688053281).

Almost surely, 2^527376106561 is an apocalyptic number.

It is an amenable number.

527376106561 is a deficient number, since it is larger than the sum of its proper divisors (1).

527376106561 is an equidigital number, since it uses as much as digits as its factorization.

527376106561 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 527376106561 in words is "five hundred twenty-seven billion, three hundred seventy-six million, one hundred six thousand, five hundred sixty-one".