82580053 has 2 divisors, whose sum is σ = 82580054. Its totient is φ = 82580052.

The previous prime is 82580021. The next prime is 82580083. The reversal of 82580053 is 35008528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69605649 + 12974404 = 8343^2 + 3602^2 .

It is a cyclic number.

It is not a de Polignac number, because 82580053 - 2⁵ = 82580021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82579997 and 82580024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82580083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41290026 + 41290027.

It is an arithmetic number, because the mean of its divisors is an integer number (41290027).

Almost surely, 2^82580053 is an apocalyptic number.

It is an amenable number.

82580053 is a deficient number, since it is larger than the sum of its proper divisors (1).

82580053 is an equidigital number, since it uses as much as digits as its factorization.

82580053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 82580053 is about 9087.3567664090. The cubic root of 82580053 is about 435.4701447905.

The spelling of 82580053 in words is "eighty-two million, five hundred eighty thousand, fifty-three".