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135785501 is a prime number
BaseRepresentation
bin10000001011111…
…10110000011101
3100110111121200122
420011332300131
5234230114001
621250204325
73236105045
oct1005766035
9313447618
10135785501
116a713725
12395836a5
1322192c67
1414068725
15bdc2b1b
hex817ec1d

135785501 has 2 divisors, whose sum is σ = 135785502. Its totient is φ = 135785500.

The previous prime is 135785459. The next prime is 135785509. The reversal of 135785501 is 105587531.

135785501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135722500 + 63001 = 11650^2 + 251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135785501 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135785509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67892750 + 67892751.

It is an arithmetic number, because the mean of its divisors is an integer number (67892751).

Almost surely, 2135785501 is an apocalyptic number.

It is an amenable number.

135785501 is a deficient number, since it is larger than the sum of its proper divisors (1).

135785501 is an equidigital number, since it uses as much as digits as its factorization.

135785501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 35.

The square root of 135785501 is about 11652.7035918709. The cubic root of 135785501 is about 513.9858144329.

The spelling of 135785501 in words is "one hundred thirty-five million, seven hundred eighty-five thousand, five hundred one".