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52605713 is a prime number
BaseRepresentation
bin1100100010101…
…1001100010001
310122222122110202
43020223030101
5101431340323
65115304545
71206066266
oct310531421
9118878422
1052605713
11277704a6
121574b155
13ab8b454
146db526d
154941d28
hex322b311

52605713 has 2 divisors, whose sum is σ = 52605714. Its totient is φ = 52605712.

The previous prime is 52605697. The next prime is 52605731. The reversal of 52605713 is 31750625.

Together with next prime (52605731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41899729 + 10705984 = 6473^2 + 3272^2 .

It is a cyclic number.

It is not a de Polignac number, because 52605713 - 24 = 52605697 is a prime.

It is a super-2 number, since 2×526057132 = 5534722080476738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (52605743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26302856 + 26302857.

It is an arithmetic number, because the mean of its divisors is an integer number (26302857).

Almost surely, 252605713 is an apocalyptic number.

It is an amenable number.

52605713 is a deficient number, since it is larger than the sum of its proper divisors (1).

52605713 is an equidigital number, since it uses as much as digits as its factorization.

52605713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 52605713 is about 7252.9795946218. The cubic root of 52605713 is about 374.6947750421.

The spelling of 52605713 in words is "fifty-two million, six hundred five thousand, seven hundred thirteen".