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133518025 = 5223112
BaseRepresentation
bin1111111010101…
…01001011001001
3100022020102022001
413331111023021
5233140034100
621125431001
73210612244
oct775251311
9308212261
10133518025
1169405083
123886b461
132187ab64
1413a3825b
15bac5d6a
hex7f552c9

133518025 has 9 divisors (see below), whose sum is σ = 165634023. Its totient is φ = 106768200.

The previous prime is 133518019. The next prime is 133518031. The reversal of 133518025 is 520815331.

The square root of 133518025 is 11555.

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 (133518019) and next prime (133518031).

It can be written as a sum of positive squares in only one way, i.e., 48066489 + 85451536 = 6933^2 + 9244^2 .

It is not a de Polignac number, because 133518025 - 213 = 133509833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133517984 and 133518002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56620 + ... + 58930.

Almost surely, 2133518025 is an apocalyptic number.

133518025 is the 11555-th square number.

133518025 is the 5778-th centered octagonal number.

It is an amenable number.

133518025 is a deficient number, since it is larger than the sum of its proper divisors (32115998).

133518025 is an frugal number, since it uses more digits than its factorization.

133518025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 133518025 is about 511.1087310416.

Multiplying 133518025 by its product of nonzero digits (3600), we get a square (480664890000 = 6933002).

The spelling of 133518025 in words is "one hundred thirty-three million, five hundred eighteen thousand, twenty-five".

Divisors: 1 5 25 2311 11555 57775 5340721 26703605 133518025