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57264061 is a prime number
BaseRepresentation
bin1101101001110…
…0011110111101
310222202022112011
43122130132331
5104124422221
65403211221
71263510421
oct332343675
9128668464
1057264061
112a362378
1217216b11
13bb2c87a
147868b81
1550621e1
hex369c7bd

57264061 has 2 divisors, whose sum is σ = 57264062. Its totient is φ = 57264060.

The previous prime is 57264059. The next prime is 57264073. The reversal of 57264061 is 16046275.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45832900 + 11431161 = 6770^2 + 3381^2 .

It is a cyclic number.

It is not a de Polignac number, because 57264061 - 21 = 57264059 is a prime.

It is a super-3 number, since 3×572640613 (a number of 24 digits) contains 333 as substring.

Together with 57264059, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57264091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28632030 + 28632031.

It is an arithmetic number, because the mean of its divisors is an integer number (28632031).

Almost surely, 257264061 is an apocalyptic number.

It is an amenable number.

57264061 is a deficient number, since it is larger than the sum of its proper divisors (1).

57264061 is an equidigital number, since it uses as much as digits as its factorization.

57264061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57264061 is about 7567.3020951988. The cubic root of 57264061 is about 385.4434896135.

The spelling of 57264061 in words is "fifty-seven million, two hundred sixty-four thousand, sixty-one".