82825537121 has 2 divisors, whose sum is σ = 82825537122. Its totient is φ = 82825537120.

The previous prime is 82825537097. The next prime is 82825537133. The reversal of 82825537121 is 12173552828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70245671521 + 12579865600 = 265039^2 + 112160^2 .

It is a cyclic number.

It is not a de Polignac number, because 82825537121 - 2¹⁸ = 82825274977 is a prime.

It is not a weakly prime, because it can be changed into another prime (82825537721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41412768560 + 41412768561.

It is an arithmetic number, because the mean of its divisors is an integer number (41412768561).

Almost surely, 2^82825537121 is an apocalyptic number.

It is an amenable number.

82825537121 is a deficient number, since it is larger than the sum of its proper divisors (1).

82825537121 is an equidigital number, since it uses as much as digits as its factorization.

82825537121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 268800, while the sum is 44.

The spelling of 82825537121 in words is "eighty-two billion, eight hundred twenty-five million, five hundred thirty-seven thousand, one hundred twenty-one".