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2526116225 = 52197512917
BaseRepresentation
bin1001011010010001…
…0111100110000001
320112001100000000012
42112210113212001
520133141204400
61054355234305
7116412430223
oct22644274601
96461300005
102526116225
111086a21566
125a5ba8995
13313474739
1419d6cc413
15ebb88d35
hex96917981

2526116225 has 12 divisors (see below), whose sum is σ = 3148290684. Its totient is φ = 2010630720.

The previous prime is 2526116221. The next prime is 2526116237. The reversal of 2526116225 is 5226116252.

It can be written as a sum of positive squares in 6 ways, for example, as 481539136 + 2044577089 = 21944^2 + 45217^2 .

It is not a de Polignac number, because 2526116225 - 22 = 2526116221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2526116191 and 2526116200.

It is not an unprimeable number, because it can be changed into a prime (2526116221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251534 + ... + 261383.

It is an arithmetic number, because the mean of its divisors is an integer number (262357557).

Almost surely, 22526116225 is an apocalyptic number.

2526116225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2526116225 is a deficient number, since it is larger than the sum of its proper divisors (622174459).

2526116225 is a wasteful number, since it uses less digits than its factorization.

2526116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513124 (or 513119 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 2526116225 is about 50260.4837322523. The cubic root of 2526116225 is about 1361.9184691108.

The spelling of 2526116225 in words is "two billion, five hundred twenty-six million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 5 25 197 985 4925 512917 2564585 12822925 101044649 505223245 2526116225