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2525540314529 is a prime number
BaseRepresentation
bin100100110000000101111…
…011101110110110100001
322221102212020122222012202
4210300011323232312201
5312334301310031104
65212114525502545
7350315146321001
oct44600573566641
98842766588182
102525540314529
11894091737641
12349572411a55
13154207b4749b
148a345b08001
1545a65e6151e
hex24c05eeeda1

2525540314529 has 2 divisors, whose sum is σ = 2525540314530. Its totient is φ = 2525540314528.

The previous prime is 2525540314499. The next prime is 2525540314571. The reversal of 2525540314529 is 9254130455252.

2525540314529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1983773656225 + 541766658304 = 1408465^2 + 736048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2525540314529 is a prime.

It is a super-2 number, since 2×25255403145292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2525540316529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1262770157264 + 1262770157265.

It is an arithmetic number, because the mean of its divisors is an integer number (1262770157265).

Almost surely, 22525540314529 is an apocalyptic number.

It is an amenable number.

2525540314529 is a deficient number, since it is larger than the sum of its proper divisors (1).

2525540314529 is an equidigital number, since it uses as much as digits as its factorization.

2525540314529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 2525540314529 in words is "two trillion, five hundred twenty-five billion, five hundred forty million, three hundred fourteen thousand, five hundred twenty-nine".