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2526570225 = 345211172
BaseRepresentation
bin1001011010011000…
…0110011011110001
320112002012001210000
42112212012123301
520133300221400
61054413100213
7116416330644
oct22646063361
96462161700
102526570225
111087201673
125a6187669
133135a328a
1419d7a9a5b
15ebc28600
hex969866f1

2526570225 has 45 divisors (see below), whose sum is σ = 4684275057. Its totient is φ = 1346297760.

The previous prime is 2526570199. The next prime is 2526570227. The reversal of 2526570225 is 5220756252.

It is a happy number.

The square root of 2526570225 is 50265.

It is a perfect power (a square), and thus also a powerful number.

2526570225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1086823089 + 1439747136 = 32967^2 + 37944^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2526570225 - 215 = 2526537457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2526570225.

It is not an unprimeable number, because it can be changed into a prime (2526570227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2261367 + ... + 2262483.

Almost surely, 22526570225 is an apocalyptic number.

2526570225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2526570225 is the 50265-th square number.

2526570225 is the 25133-rd centered octagonal number.

It is an amenable number.

2526570225 is a deficient number, since it is larger than the sum of its proper divisors (2157704832).

2526570225 is an frugal number, since it uses more digits than its factorization.

2526570225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 2526570225 is about 1362.0000533680. Note that the first 4 decimals are identical.

Multiplying 2526570225 by its sum of digits (36), we get a square (90956528100 = 3015902).

The spelling of 2526570225 in words is "two billion, five hundred twenty-six million, five hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1117 2025 3351 5585 10053 16755 27925 30159 50265 83775 90477 150795 251325 452385 753975 1247689 2261925 3743067 6238445 11229201 18715335 31192225 33687603 56146005 93576675 101062809 168438015 280730025 505314045 842190075 2526570225