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537164397225 = 3652612892
BaseRepresentation
bin1111101000100010111…
…11100011101010101001
31220100111220120201000000
413310101133203222221
532300103041202400
61050434145133213
753544302016561
oct7642137435251
91810456521000
10537164397225
111978a0331175
128813332a209
133b8678b8b71
141bddad7dda1
15de8d6eb600
hex7d117e3aa9

537164397225 has 189 divisors, whose sum is σ = 1026845085279. Its totient is φ = 278624966400.

The previous prime is 537164397199. The next prime is 537164397241. The reversal of 537164397225 is 522793461735.

The square root of 537164397225 is 732915.

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

537164397225 is a `hidden beast` number, since 5 + 371 + 6 + 43 + 9 + 7 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 492538679721 + 44625717504 = 701811^2 + 211248^2 .

It is not a de Polignac number, because 537164397225 - 219 = 537163872937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6035554981 + ... + 6035555069.

Almost surely, 2537164397225 is an apocalyptic number.

537164397225 is the 732915-th square number.

537164397225 is the 366458-th centered octagonal number.

It is an amenable number.

537164397225 is a deficient number, since it is larger than the sum of its proper divisors (489680688054).

537164397225 is an frugal number, since it uses more digits than its factorization.

537164397225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 158 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 537164397225 in words is "five hundred thirty-seven billion, one hundred sixty-four million, three hundred ninety-seven thousand, two hundred twenty-five".