2506535329 has 2 divisors, whose sum is σ = 2506535330. Its totient is φ = 2506535328.

The previous prime is 2506535299. The next prime is 2506535341. The reversal of 2506535329 is 9235356052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1408275729 + 1098259600 = 37527^2 + 33140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506535329 - 2¹⁵ = 2506502561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2506535291 and 2506535300.

It is not a weakly prime, because it can be changed into another prime (2506535399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253267664 + 1253267665.

It is an arithmetic number, because the mean of its divisors is an integer number (1253267665).

Almost surely, 2^2506535329 is an apocalyptic number.

It is an amenable number.

2506535329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506535329 is an equidigital number, since it uses as much as digits as its factorization.

2506535329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 40.

The square root of 2506535329 is about 50065.3106352093. The cubic root of 2506535329 is about 1358.3904200764.

The spelling of 2506535329 in words is "two billion, five hundred six million, five hundred thirty-five thousand, three hundred twenty-nine".