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57585058541 is a prime number
BaseRepresentation
bin110101101000010101…
…100100001011101101
312111122012110001211222
4311220111210023231
51420413233333131
642242035353125
74106003631023
oct655025441355
9174565401758
1057585058541
112247029a87a
12b1b11527a5
13557933c74a
142b03c64713
15177072987b
hexd685642ed

57585058541 has 2 divisors, whose sum is σ = 57585058542. Its totient is φ = 57585058540.

The previous prime is 57585058537. The next prime is 57585058603. The reversal of 57585058541 is 14585058575.

It is a happy number.

57585058541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37802636041 + 19782422500 = 194429^2 + 140650^2 .

It is a cyclic number.

It is not a de Polignac number, because 57585058541 - 22 = 57585058537 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57585088541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28792529270 + 28792529271.

It is an arithmetic number, because the mean of its divisors is an integer number (28792529271).

Almost surely, 257585058541 is an apocalyptic number.

It is an amenable number.

57585058541 is a deficient number, since it is larger than the sum of its proper divisors (1).

57585058541 is an equidigital number, since it uses as much as digits as its factorization.

57585058541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5600000, while the sum is 53.

The spelling of 57585058541 in words is "fifty-seven billion, five hundred eighty-five million, fifty-eight thousand, five hundred forty-one".