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130859445025 = 5271210192
BaseRepresentation
bin111100111011111010…
…1001010101100100001
3110111202211010120120001
41321313311022230201
54121000004220100
6140041020020001
712311550633661
oct1716765125441
9414684116501
10130859445025
1150551821981
1221440691601
13c455c6bb9a
1464956aa1a1
15360d52dd6a
hex1e77d4ab21

130859445025 has 27 divisors (see below), whose sum is σ = 164745006643. Its totient is φ = 103111794800.

The previous prime is 130859445007. The next prime is 130859445043. The reversal of 130859445025 is 520544958031.

The square root of 130859445025 is 361745.

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

It is an interprime number because it is at equal distance from previous prime (130859445007) and next prime (130859445043).

It can be written as a sum of positive squares in only one way, i.e., 47109400209 + 83750044816 = 217047^2 + 289396^2 .

It is not a de Polignac number, because 130859445025 - 25 = 130859444993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128418966 + ... + 128419984.

Almost surely, 2130859445025 is an apocalyptic number.

130859445025 is the 361745-th square number.

130859445025 is the 180873-rd centered octagonal number.

It is an amenable number.

130859445025 is a deficient number, since it is larger than the sum of its proper divisors (33885561618).

130859445025 is an frugal number, since it uses more digits than its factorization.

130859445025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 130859445025 in words is "one hundred thirty billion, eight hundred fifty-nine million, four hundred forty-five thousand, twenty-five".

Divisors: 1 5 25 71 355 1019 1775 5041 5095 25205 25475 72349 126025 361745 1038361 1808725 5136779 5191805 25683895 25959025 73723631 128419475 368618155 1843090775 5234377801 26171889005 130859445025